Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)

Answers

Answer 1

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]

First, we need to FOIL out this expression, then we can simplify it

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]

Answer 2

The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.

What is simplified expression after you multiply?

To solve the given expression that needs you to multiply, let's first simplify the individual terms:

Square root of 10: √10

Square root of 8: √8 = √(4 x 2) = 2√2

Now, let's substitute these values into the expression:

(√10 + 2√8)(√10 - 2√8)

Using the distributive property, we can expand this expression as follows:

= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)

= 10 - 2√80 + 2√80 - 4 x 8

= 10 - 16

= -6

Therefore, the simplified expression in square root is -6.

Read more about square root here: https://brainly.com/question/1686974

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Related Questions

help please with easy geometry
Which type of line symmetry does the figure have?


vertical

horizontal

diagonal

none of the above

Answers

Answer:

Vertical line of symmetry

the vertical line of symmetry

What is a like radical to cube root 54 after simplifying

Answers

Answer:

3√128

Step-by-step explanation:

Subtract 3 hours, 50 minutes from 5 hours, 20 minutes. 2 hours, 20 minutes

Answers

Answer:

1 hours 30 minutes

Step-by-step explanation:

Subtract 5 hours 20 minutes and 3 hours 50 minutes

which gives 1 hours 30 minutes

I think the answer is 1 hour, 30 minutes!

Solve for x
(x+54)
5x

Answers

X=9

You would do 54 divided by 5x and it would equal to 9 that means x is 9

Answer:

X= 10.8

Step-by-step explanation:

You do 54 divided by 5X, which 54 divided by 5 is 10.8, so that would mean that 10.8 is = to X

A single candy is picked
randomly from a bag
containing 5 red, 4 Green, and
3 blue. Give the probability of
picking a candy that is not blue.

Answers

Answer:

9/12 or 3/4 (it's the same)

Step-by-step explanation:

You have to guve the probabiloty of picking a candy that is not blue, so you have to do:

5 red + 4 green = 9

total = 5 + 4 + 3 = 12

9/12 is equal to 3/4

Step-by-step explanation: the  answer is3/12

it is 3/12 because if you add 5+4+3 you will get 12 so out of that 12 which are blue which is 3 so it would be three

if it is wrong sorry but if it right hope its was correct :)

I need help on this question who can help

Answers

Answer:

4

Step-by-step explanation:

what is the maximum volume of water a hamster bath could hold with a depth of 1 2/3 inches, a length of 2/13 inches and a width of 2 inches

Answers

Answer:

I'm glad you asked.

Step-by-step explanation:

The max volume would be 70/9 or 7 7/9.

√(25 - 10 √(3) + 3)
(not as a decimal)

Answers

Answer:

[tex]\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}[/tex]

Step-by-step explanation:

[tex]\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}[/tex]

The price of producing a $4 chocolate bar goes up, so the seller of the chocolate bar raises the price to $5. A student describes the effect on the demand for the chocolate, saying, "Since the price goes up, the quantity demanded will go up." Evaluate the student's answer.


Select the best answer from the choices provided.
A.
The answer is correct because the student describes the effects of the law of supply correctly.
B.
The answer is incorrect because the quantity demanded would go down.
C.
The answer is correct because the student describes the effects of the law of demand correctly.
D.
The answer is incorrect because the student does not mention supply.

Answers

Answer:

the answer is bbbbbbb

Step-by-step explanation:

1. If you deposit $9200 into an account paying 7% annual interest
compounded quarterly, how much money will be in the account after 10 years? a
A) $20,123.85
B) $ 8,549.75
C) $18,414.70
D) $10,487.20

Answers

Answer:

C) $18,414.70

Step-by-step explanation:

  [tex]A = 9,200 (1 +\frac{0.07}{4}) ^{4 x 10}[/tex]

      = $18, 414.70

You roll a fair number die. Find the probability of the number die
landing on a number greater than 4.

Answers

Answer:

1/3

Step-by-step explanation:

2/6 which is 1/3

5 and 6 is greater than 4

I will give you brainliest if you answer pleaseee

Answers

Answer: The area of the banner is 100 in^2

Step-by-step explanation:

so let say the banner was still a rectangle with the triangle still  attached to it so if we needed to find the area of the whole rectangle we will need to multiply the length times the width

so  14 * 8 =  112    

But now a triangle is being cut out of the rectangle so we need to find the area of the triangle being cut out and subtract it from the area of the whole rectangle.  But first we need to find the base and the base is 8  since the other side  base is 8  too and the height will be 3 since 14- 11= 3  

Now find the area of the triangle by multiplying the base times the height and divide it by 2.

8 * 3= 24

24/2= 12

subtract 12 from 112

112- 12 = 100

The volume of a cylinder is 576Pi cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Recall the formula V = pi r squared h.
18 inches
24 inches
36 inches
72 inches

Answers

Answer:

The height of the cylinder is 36 inches

Step-by-step explanation:

Given, The volume of a cylinder is 576[tex]\pi[/tex] cubic inches and the radius is 4 inches.

[tex]\pi[/tex] = 3.14

Formula for voulme of cylinder is V = [tex]\pi[/tex] * r^2 * h

Substitute the given values in the above formula to find the unknown value.

V = 3.14 * 4^2 * h

576[tex]\pi[/tex] = 3.14 * 4^2 * h

1,808.64 = 3.14 * 16 * h

1,808.64 = 50.24 * h

1,808.64 / 50.24 = h

36 = h

h = 36 inches

The final answer is 36 inches.

Therefore the height of the cylinder is 36 inches.

To solve more questions or To get to know more about the cylinder problems:

https://brainly.com/question/16577039

The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
O A. (x-3)2 + (y - 1)2 = 4
O B. (x-1)2 + (x-3)2 = 2
O c. (x - 1)2 + (y - 3)2 = 4
O D. (x-3)2 + (x-1)2 = 2

Answers

Answer:

A

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Which measurement would not be used to calculate the area of this triangle?
16 cm
12 cm
24 cm
1.
12 cm
2.
16 cm
3.
24 cm
pls someone help this is due in 10 minutes and i have a lot more to do​

Answers

Answer:

Im not sure but i think 2 is the answer

Step-by-step explanation:

Need help with the photo above. No work needed. Just the answer. Thank you

Answers

Answer: The answer would be B. 12a+6b

The answer is letter B

Which set includes all of the integers?
{1,2,3,4,5...)
{...-3.-2, -1.0, 1, 2, 3,...)
{0, 1, 2, 3, 4, 5,...)​

Answers

Answer:

its {0,1,2,3,4,5......}

Step-by-step explanation:

Answer:

whoops wrong question srry

Step-by-step explanation:

Check all of the points that are solutions to the system of inequalities.
Y=>5x-3
X<5

Answers

Answer:

A (2,8) B (5,30) and C (4,17) are the correct answers. The others are wrong

When filled,a particular round balloon has a diameter of 14 inches.What is the approximate volume of air needed to fill this balloon

Answers

Answer:

Hi the answer you are looking for is 1436.76.

Hope this helps! Study on!

Step-by-step explanation:

33 - [2 · (3 – 7)]
Your answer

Answers

Answer:

41

Step-by-step explanation:

33 - [2 · (3 – 7)]

PEMDAS

Work parentheses inside out

33 - [2 · -4]

33 - (-8)

Subtracting a negative is adding

33+8

41

A classroom has 14 blue chairs, 5 green chairs and 11 red chairs. If a chair is selected from the classroom at random, which color is most likely to be choses?

Answers

Answer:

Blue, and with a 7/15 chance

Step-by-step explanation:

14+5+11=14+16=30

b=14/30=7/15

r=11/30

g=5/30=1/6

Please mark as Brainliest! :)

Have a nice day.

Use the relationship between the angles in the figure to answer
the question.
Which equation can be used to find the value of x?

Answers

Answer:

The answer to the question is X=18

can you determines a triangle's side by it's angle?

Answers

Answer:

yes

Step-by-step explanation:

use a set, if there is a base, place the protractor and the side will determine what angle it is.

Which ones are prime numbers

11, 18, 28, 41, or 43 please pick the all the ones that are prime numbers

Answers

Answer:

11, 41, and 43

Step-by-step explanation:

those numbers' only factors are itself and one

Answer:

11, 41, 43

Step-by-step explanation:

prime numbers are numbers that only multiply by 1

Which is NOT true regarding the hypotenuse? *
O It is the longest side of the right triangle
It helps form the right angle.
It is across from the right angle

Answers

Answer:

It helps form the right angle.

Step-by-step explanation:

The hypotenuse is across from the right angle formed by the shorter sides.

Answer:

B: It helps form the right angle.

Step-by-step explanation:

Please help answer this asap!
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?

1/4x - 1/6y = 5
4/5x + 3/8y = 10

1. 18 times the first equation and 8 times the second equation
2. –18 times the first equation and 8 times the second equation
3. 8 times the first equation and 6 times the second equation
4. –8 times the first equation and 6 times the second equation

Answers

Answer:

try answer 3 its been a minute hun but im pretty sure its 3. im sorry if the answer is wrong.

Step-by-step explanation:

Part of Sal's budget is shown. What percentage of his income goes toward savings?
A. 95%
B. 10.53%
C. 9.5%
D. Cannot tell from the information given

Answers

Answer:

9.5%

.................

Answer:

it is 9.5%

Step-by-step explanation:

If 1/10 < x < 1, for what value of x is the value of 10 + 1/x greatest?

Help quick pleaseee

Answers

Answer:

Step-by-step explanation:

We can safely focus on 1/x.  The smaller x is, the greater 1/x will be.  Note that x cannot equal zero.  Here we are asked to focus on 1/10 < x < 1, in which 1/10 is obviously the smallest x value.  But 1/10 < x < 1 restricts x to numbers greater than 1/10.  The graph of y = 10 + 1/x is not defined for x = 1/10, but as we approach x = 1/10 along the graph, we see the graph approaching (but not touching) the maximum value 10 + 1/(1/10), or 20.

PLEASE ANSWER Question is in Attachment
Will mark brainliest

Answers

Answer: x=3

Step-by-step explanation: Please mark as brainliest

5x+34+8x+15=88

step by step

Let's solve your equation step-by-step.

5x+34+8x+15=88

Step 1: Simplify both sides of the equation.

5x+34+8x+15=88

(5x+8x)+(34+15)=88(Combine Like Terms)

13x+49=88

13x+49=88

Step 2: Subtract 49 from both sides.

13x+49−49=88−49

13x=39

Step 3: Divide both sides by 13.

13x

13

=

39

13

Evaluate 3|-3|
if you could do it step by step I’d appreciate

Answers

Answer:

9

Step-by-step explanation:

the absolute value of -3 is 3

so; 3*|-3| =3*3 =9

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