# How do you simplify sqrt(ab^6)?

Mar 19, 2017

You can change the square root into the power of $\frac{1}{2}$ and write it as:
${\left(a {b}^{6}\right)}^{\frac{1}{2}} =$
${a}^{\frac{1}{2}} {b}^{6 \cdot \frac{1}{2}} = {a}^{\frac{1}{2}} {b}^{3} = \sqrt{a} \cdot {b}^{3}$