Question

simplify.
remove all perfect squares from inside the square roots. assume x and y are positive.
√8x^3y^2

Answer 1

Answer:

$2xy\sqrt{2x}$

Step-by-step explanation:

Because this is a whole term in itself (no addition or subtraction), you can just directly find squares and factor them out. First, when looking at 8, you can factor out 4, to get 2 on the outside. Then, while looking at x cubed, you can factor out x squared, to get x on the outside, and when looking at y squared, you can just pull that outside itself, to get y. Now, we have one 2 and one x remaining, for a total of $2xy\sqrt{2x}$