simplify - square root of 48x^3y^2

Your problem:

√48x^3y^2

Try to break it down as far as you can in order to simplify.

√(16 * 3)(x^2 * x)(y^2)

The square root of 16 is 4. The square root of x^2 is x. The square root of y^2 is y.

Therefore, you end up with this:

4xy√3x --> 3x is left under the square root sign.

I hope this helps.