Can someone pls me with my math homework?
simplify
8 sqrt 200 - 3 sqrt 162

53 sqrt(2)

Step-by-step explanation:

Hi Addisonrausch, how are you?

In this exercise you must simplify the roots and then be able to solve the equation.

Next step by step:

The first is to simplify the roots. To do this, always try dividing the radicand by one of the prime numbers: 2, 3, 5, 7, 9, etc. If the number is even (as in this exercise you have both numbers 200 and 162 are even) tests dividing by 2 and expressing that number as the multiplication of 2 by the result number.

8 sqrt (100 * 2) - 3 sqrt (81 * 2)

Then you can express the number 100 as the square of 10 (since 10 ^ 2 = 10 * 10 = 100). Similarly, you can express 81 as the square of 9 (9 ^ 2 = 9 * 9 = 81).

8 sqrt ((10 ^ 2) * 2) - 3 sqrt ((9 ^ 2) * 2)

Then, you distribute the square root between the factors (this is a property of the powers and roots).

8 (sqrt (10 ^ 2) * sqrt (2)) - 3 (sqrt (9 ^ 2) * sqrt (2))

You simplify the power squared with the square root

8 * 10 sqrt (2) - 3 * 9 sqrt (2)

80 sqrt (2) - 27 sqrt (2)

By having the square root subtracted you can proceed with the subtraction:

(80-27) sqrt (2)

53 sqrt (2)

Ready!

I hope I've been helpful!

Regards

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.