Question

How do you simplify `sqrt(32xy^2) div sqrt4`?

Answer 1

`ysqrt(8x)`

Explanation:

`sqrt(32xy^2)-:sqrt4`
`=(sqrt32xxsqrtx xxsqrt(y^2))-:sqrt4`
`=(cancel(sqrt4)xxsqrt8xxsqrtx xxy)-:cancel(sqrt4`
`=yxxsqrt8xxsqrtx`
`=ysqrt(8x)`