# How do you simplify sqrt(8x^6y^7)?

2x^3y^3sqrt(2y
In order to calculate $\sqrt{8 {x}^{6} {y}^{7}}$, know that $\sqrt{{a}^{2} {b}^{2}} = a b$.
We can rewrite $\sqrt{8 {x}^{6} {y}^{7}}$ as $\sqrt{{\left(2\right)}^{2} \cdot 2 \cdot {\left({x}^{3}\right)}^{2} \cdot {\left({y}^{3}\right)}^{2} \cdot y}$.
We can take all the terms that are squared out from under the square root, leaving the answer color(blue)(2x^3y^3sqrt(2y#.