simplify square roots?

Question

√72x^4y^2

√56x^2y^3

Answer 1

Question 1
6.√2.x².y
Question 2
2.√2.7.x.y^(3/2) = 14.√2.x.y^(3/2)

Answer 2

well, the x^4 comes out to make it x^2 and the y^2 comes out to give you y. You can take 36 out of the square to give you 6.

So, you are left with 6x^2y sqrt(2)

with the other one, one y stays in, you can only take 4 out, so you would have 2xy sqrt(14y)

Answer 3

factor out perfect squares

1. sq.rt.[(36)(2)( x^2)(x^2)(y^2)]
6x^2y sq.rt.(2)

2. sq.rt.[(4)(14)(x^2)(y^2)]
2xy sq.rt.(14y)