Simplify the following radicals. Assume that the variables can represent a positive number.

square root of (4x)^2

Would that be 2x?

No because

cubed square root of -125d^3

Would that be 5d^3

No, because

Find the domain of the given function.

f(x)=square root of 3x-8

I added 8. 3x is greater than 8/3.

My answer is (-infinity, 8/3]

No, because

Simplify

square root of 32x^5y^9

This is my answer. 2x^4y^3 square root 2xy^3

No, because

Thanks.

Some solutions in Red.