Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.

Answers

Answer 1

Answer:

incorrect, correct answer is 4√2

Step-by-step explanation:

When you remove the square root You will have to remove them completely. so that the inside of the square root cannot be removed any more numbers (I'm not good at English but I hope u understand what I want u to know :)))

√32 = √2×2×2×2×2

Match 2 identical numbers one at a time and bring them out. ;

√32 = 2×2√2

√32 = 4√2 correct answer!

find you If you want to check if your square root removal is correct or not. Multiply the answer you have given by itself, for example:

4√2 × 4√2 = 16×√4 = 16×2 = 32 correct!

hope it helps you <3

Answer 2

She had taken 2 outside without consideration of square root. And the correct value of √32 is 4√2.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Jaclyn estimates the square root of 32 in the following way:

√32 = 2√16 = 2 ∗ 4 = 8

a)  She had taken 2 outside without consideration of square root.

b)  The √32 is correctly solved below.

[tex]\sqrt{32} = \sqrt{2*2*2*2*2} = 2*2*\sqrt2=4\sqrt2[/tex]

Then the correct value of √32 is 4√2.

More about the irrational number link is given below.

https://brainly.com/question/9466779


Related Questions

Answer please! Info is in the picture!

Answers

Answer:

Max:

Volume = 6 * 12 = 72 cubic inches

Tucker:

Volume = 7 * 10 = 70 cubic inches

72-70 = 2 cubic inches

Max's carton is 2 cubic inches larger

rate brainiest please

A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? Select all that apply.

(A) 3 feet by 4 feet by 5 feet

(B) 3 feet by 3 feet by 5 feet

(C) 3 feet by 5 feet by 6 feet

(D) 3 feet by 2 feet by 10 feet

(E) 3 feet by 2 feet by 15 feet

Answers

Answer:

it's A, 3 feet by 4 feet by 5 feet

What is the difference in length between the longest and shortest pieces of ribbon?

Answers

Answer: B

Step-by-step explanation: have a great day pls brainliest

can someone answer my questions

Please help! As long as it is correct you will get brainliest!

Land developers are dividing a property into several sections to develop a new neighborhood, as shown below.


• Find the area, in square blocks, of the mall section of the property. Show all your work.



• Find the area, in square blocks, of the park section of the property. Show all your work.



• Find the total area, in square blocks, of the sections with homes. Show all your work.



• If the developers paid $500.00 per square block, how much did they pay for all the property being developed? Explain your answer.

Answers

Answer:

$97500.00

Step-by-step explanation:

the homes of the homes facing south is 10 times (7 plus 3) = 100 blocks

the area of the east facing homes is 8 times 10= 80 blocks

and the area of the trapezoid is 5 plus 3 times 3 = 15 blocks

so 100+80+15= 195 square blocks

195 times 500 = $97500.00

Question 1
Indicate the answer choice that best completes the statement or answers the question.

Answers

B. 50 degrees. Angles 9 and 5 are congruent or equal. The angle of a straight line is 180 degrees so angle 5 plus angle 4 equals 180 degrees. So just do 180-130 which equals 50.
The answer is 50 because it’s 50

A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 80 feet. How long will it take to move from one end to the other?

Answers

Answer:

40.5 seconds

Step-by-step explanation:

i need help i will give them 100 points.

Answers

Hello!

∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘  ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘

Slope Formula:

[tex]\bold{\displaystyle\frac{y_2-y_1}{x_2-x_1}}[/tex]

Where

[tex]\bold{y_2}[/tex]  is the y-coordinate of the second point

[tex]\bold{y_1}[/tex] is the y-coordinate of the first point

[tex]\bold{x_2}[/tex] is the x-coordinate of the second point

[tex]\bold{x_1}[/tex] is the x-coordinate of the first point

Check the First example:

[tex]\bf{y_2}[/tex] = 6

[tex]\bf{y_1}[/tex]= -2

[tex]\bf{x_2}[/tex]=3

[tex]\bf{x_1}[/tex] = -9

Plug in the Values

[tex]\bf{\displaystyle\frac{6-(-2)}{3-(-9)} }[/tex]

6-(-2) is the same as 6+2; same with 3-(-9)

[tex]\bf{\displaystyle\frac{6+2}{3+9}}[/tex]

Simplify:

[tex]\bf{\displaystyle\frac{8}{12}}[/tex]

Is the slope negative? Nope!

How about Option B?

[tex]\bf{\displaystyle\frac{7-9}{5-6}}[/tex]

[tex]\bf{\displaystyle\frac{-2}{-1}}[/tex]

Right now it seems like the slope's negative, huh? Well, wait for it...

[tex]\bf{2}[/tex]

Kaboom!

Please remember that

[tex]\bigstar^\circ[/tex] A negative number multiplied/divided by a negative number equals... a positive! :-)

We have 2 options left: C & D.

[tex]\displaystyle\frac{-8-1}{8-(-8)}[/tex]

[tex]\displaystyle\frac{-8-1}{8+8}}[/tex]

[tex]\displaystyle\frac{-9}{16}}[/tex]

We did it! The slope's actually negative :)

How about Option D (just to make sure the third option is right)

-9-(-8)/-1-2

-9+8/-3

-1/-3

Again we have a negative over a negative.

Therefore, the correct option is

[tex]\boxed{\boxed{\bold{Option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

[tex]\text{An~Emotional~Helper}[/tex]

[tex]\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}[/tex]

the last one because the y is negative

ill give brainliest i guess just gotta be right

Answers

Answer:

102.8 but since it is about it is 103

Step-by-step explanation:

So, the perimeter of a semicircle is 1/2 (πd) + d where d is diameter

3.14x40=125.6/2=62.8

62.8+40=102.8

1. Classify each angle pair and indicate whether they are congruent or supplementary.

Answers

Answer:

1. congruent

3. supplementary

5. congruent

(PLS HELP) Choices:
A. PS
B. RP
C. PT
D. TS

Answers

PS if you look at it PS looks just like it but above it

Answer:

The Only possible answer is PT or TP

Step-by-step explanation:

Since Perpendicular lines are lines that cross each other at a 90 Degree angle we need to find a line that falls at a 90 Degree angle to TR

Below is a two-way table for a college basketball team during the NCAA playoffs. Complete the table. What is the value of each basket on average.

Answers

Answer:

64%

Step-by-step explanationI added total and points earned and divided 66/102 and I got 0.64. I moved my decimal 2 places to the right and got 64%

a cast member is selling balloons on main street. he has 4 princess balloon, 5 blue mickey balloons and 1 red mickey balloon. he sells 1 balloon and then another (no replacing). find the probability of selling one blue balloon followed by another blue balloon.

Answers

Answer:

hee-hee!

Step-by-step explanation:

We first have to find how many possible outcomes there are.

We find that out by seeing how many types of balloons are in total.

4 + 5 + 1 = 10

There are 10 possible outcomes.

We then see how many favorable outcomes there are.

There are 5 blue mickey balloons.

That means 5/10 or 1/2.

Then we subtract 1/10 from 5/10.

5/10 - 1/10 = 4/9

We lower the denominator by 1 because the total possible outcomes are also lowered by one.

The probability of the cast member selling another blue balloon after selling the first one is 4/9.

hope this helps :)

Some blocks are stacked as shown. If the face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units

Answers

Answer:

B

Step-by-step explanation:

i did the quiz.

28 square units

If you count all the cubes sides of each cube you will get 28

If the side dimensions of two cubes are 8 inches and 12 inches, how many small cubes can fit in the larger one?

Answers

Answer:

3

Step-by-step explanation:

8^3 = 512

12^3 = 1728

1728/512 = 3.375

So, 3 cubes can fit

If an object travels 1/20 of the length of the path in 3/4 seconds, how many seconds will it take to travel the whole, path?

Answers

Divide 3/4 which is 0.75 and then multiply that by 20 which is 15 Final answer:15

Choose the number sentence whose product is 2.015.

Answers

Answer: you didn't put any number sentences but these all equal 2.015

2.015*1

1.0075*2

0.67166666*3

0.50375*4

0.403*5

0.3358333*6

0.28785714285714285714*7

0.251875*8

0.22388888*9

0.2015*10

Answer:

C

Step-by-step explanation:

you welcome don't know what other person was doing

Cliff really loves ice cream. He decided to make a list of all the possible combinations from these choices. Then he remembered that he could have all those choices on a cone or in a bowl. How many outcomes are there?

Bowl or Cone

Ice Cream: Chocolate, Vanilla, Strawberry

Toppings: Chocolate syrup, Caramel, Marshmallows

Answers

Answer:

uh

Step-by-step explanation:

You have to find how many different outcomes there are in all.

Bowl or Cone (2)

Ice Cream Flavors: Chocolate, Vanilla, and Strawberry (3)

Toppings: Chocolate syrup, Caramel, and Marshmallows (3)

(2)(3)(3) = 18

There are 18 different outcomes in all

There is 24 out comes of the ice cream

Lin's family needs to travel 325 miles to reach her grandmother's house.

1. At 26 miles, what percentage of the trip’s distance have they completed?


%

2. How far have they traveled when they have completed 72% of the trip’s distance?


miles

3. At 377 miles, what percentage of the trip’s distance have they completed?

Answers

1: 8%

2: 262.5 (rounded 263)

3: 116%

Answer:

1. 8%

2. 262. 5 ( rounded 264)

3. 116%

Kehlani is making a table. All but one of the boards that she uses to make the table are 15/16 inches thick. Kehlani’s last board is 1 1/8 inches thick. By how much does Kehlani need to reduce the thickness of her last board to match the other boards?

Answers

Answer:

3/16 of an inch

Step-by-step explanation:

1 1/8 of an inch is 1 2/16, which is also 18/16. 18/16-15/16 = 3/16.

how do i do this! i need help fast!

Answers

The answer is irrational

6-grade math best answer gets brainlyest

Answers

Answer:

It was 1.2 degrees Celsius at 7pm.

Step-by-step explanation:

The temperature was 1.2 and -5 represents five hours before midnight (12am).

Determine which is the better buy.
9 straps for ​$10.25 or 30 straps for ​$66.00

Answers

Answer:

9 straps for $10.25

Step-by-step explanation:

Price rate

9 straps for $10.25 = 10.25/9 = $1.14 per strap30 straps for $66 = 66/30 = $2.20 per strap

Better buy

9 straps for $10.25Less cost per strapbetter buy

Answer:

9 straps

Step-by-step explanation:

If you're selling 30 straps for $66 then you get a 2.2 per each

But 9 straps for $10.25 will get 1.139

So, the value that's smaller which is 9 straps for $1.139 is a better buy

(20 POINTS PLS HELP!!)

Answers

Answer:

c

Step-by-step explanation:

there is an endpoint at A and the line continues on after g

Answer:

C)

Step-by-step explanation:

If the number line goes from one side to another, it is going from left to right (AKA, AG), and the number line already has an arrow going to the right, but none going to the left, so the arrow on top, has to also be facing the right.

hope this helps!

An experiment involves flipping a coin three times.

The following tree diagram shows the possible outcomes for the experiment.


What is the probability of getting exactly 2 tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

2⋅2⋅2=8 possible combinations in total.

Step-by-step explanation:

Can someone help me with this math equation? Can you explain how to work it out also?

Answers

Answer: 50

Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction

How to solve:

    By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

Process:Exponent

Set up equation                                                            6 / [3 * 5^(-2)]

Rewrite power                                                              6 / [3 * (5 * 5)]

Simplify power                                                              6 / [3 * (25)]

Invert power                                                                  6(25) / 3

Simplifying

Set up equation                                                            6(25) / 3

Simplify                                                                          150 / 3

Simplify (using common denominator)                        50 / 1

Rewrite in simplest form                                               =50

Answer: 50

50 I did this one yesterday

Subtract rational expression


Please show steps to answer

Answers

Answer:

(2x)/((x-3)(x+1))-(5)/((x-3)(x+4))

need help!!! how do i do this

Answers

Answer:

A

Step-by-step explanation:

typ 2^0 in you calculator

will give brainliest!

Answers

Answer:

2 by3

Step-by-step explanation:

Answer: 5 over 4

Because I noticed that the other 3 fractions are proper fractions but this one is improper so does not belong Because the numerator is bigger than the demonator. So it is improper and different and does not belong . PLEASE GIVE BRAINLIEST

i'd love some help right now

Answers

Answer:

give a better pic, its burrly

Step-by-step explanation:

Answer:

I thank it is C

Step-by-step explanation:

hope this helps if it is wrong let me now

A tailor uses
75
yards of material to make
30
sweatshirts of the same size. At this rate, how much material is needed to make
1
sweatshirt?

Answers

Answer:

2.5 yards

Step-by-step explanation:

75÷30=2.5 yards

Hope this helps!

The answers is 2.5 to make 1 sweatshirt.
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With respect to kohlberg's theory of moral reasoning, postconventional is to _____ as _____ is to social rules. Read the excerpt from "Exploring Mars. "The rover sent back many photos. One of them seemed to show a rat. Scientists said the "rat" was just a rock with a strange shape. But this didn't stop the story from spreading. The Mars rat became famous. In fact, people have been imagining strange sights on Mars for hundreds of years. Read the excerpt from "Exploring Mars. "The rover sent back many photos. One of them seemed to show a rat. Scientists said the "rat" was just a rock with a strange shape. But this didn't stop the story from spreading. The Mars rat became famous. In fact, people have been imagining strange sights on Mars for hundreds of years. What personal, real-world experience could readers most likely relate to this excerpt? help, question is below :))) question below...... A tv is sold for ra 10350 with 15% profit. Find the cp of tv What material is the objective lens made of in UV fluorescence microscopy Geometric series mastery testPlato/edumentum As waves move through water, the water at any point rises and falls. At a given moment, two points along the waves line of travel that are 2 meters apart have each risen to form adjacent crests. Which measure is described by this observation how many calories is country french vegetable soup 6-2 skills practice inverse functions and relations What is the general trend in the number of foreign-born people arriving in the United States from 1910 to 1950? What is the trend in the percentage of foreign born population during the same time? Match the items.1. theme2. imagery3. literary periodvisual description used in literaturethe subject of a piece of literaturea classification of literature a classification of literature, produced by using a particular writing style or written during a specific time period Read the excerpt from the story The Surprise Anniversary Party, and select the two sentences or phrases in the paragraphs that show how telling the story in a first-person point of view allows the reader to get a better understanding of Ellies character than if the story were told in a third-person point of view.On the way home we stopped at a boutique store, and I found a sapphire scarf that would accentuate Mom's wardrobe; I always told her she needed to update her clothes. For Dad, I chose a new golf shirt. I thanked Grandmashe loaned me the money.By the time I returned home, Ethan had the yard mowed, but I spied a hideous gnome in the flower garden hed gotten out of the garage. Id never been fond of them, so I hid it in the garage. How did entertainers assist the governments world war ii propaganda campaign?. Which sentence best incorporates the fact that the planet Venus is very hot, as learned from the NASA website?A. Astronomers agree that the planet Venus is very hot.B. Take my word for it, Venus is hot. C. As the NASA website explains, the planet Venus is very hot.D. Venus is very hot(Right answer gets 10 points .) How do you find perimeter? a/-3=18 what does a equal? Help picture below problem A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment? maybe brainliest but gotta be right