Question 231276
I assume those are 3 separate questions?

When you take the square root of an exponent, you just half it.

{{{sqrt(3y^2)}}}
={{{y*sqrt(3)}}}


{{{sqrt(15y^3*z^2)}}}


={{{y^(3/2)*z*sqrt(15)}}}

The site is cutting off the top half, but it should read y^(3/2)

{{{sqrt(24x^8)}}}
={{{x^4*sqrt(4*6)}}}
={{{2x^4*sqrt(6)}}}

Note that the square root of 4 is 2, so I took it outside of the radical and put it in front of the x^4 term.