Question

Simplify the radical expression.

Answer 1

A. 10

Answer 2

sqrt(500) = sqrt(5*100) = sqrt(5*10*10)
What do you think your answer is?

Answer 3

I think its C

Answer 4

Why? It's a square root, there are two tens and one five inside the square root. What can you pull out?

Answer 5

5?

Answer 6

sqrt(a*a) = a
sqrt(a*a*b) = a*sqrt(b)
Does this help?

Answer 7

Not really

Answer 8

Okay look. Whenever you have the same two numbers or variables inside the square root, you can rewrite one of those numbers or variables outside of the square root, and remove the pair inside:
sqrt(a*a) = a
sqrt(a*a*b) = a*sqrt(b)
sqrt(a*b*b) = b*sqrt(a)
sqrt(a*a*b*b) = a*b, etc..

Answer 9

you have sqrt(5*10*10)

Answer 10

I think I understand now. B?

Answer 11

yes

Answer 12

Thank you very much