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

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

any options?

step-by-step explanation: