# What is the square root of 196y^10?

Sep 11, 2015

$\sqrt{196 {y}^{10}} = \left\mid 14 {y}^{5} \right\mid$

#### Explanation:

$\sqrt{196 {y}^{10}}$

$= \sqrt{{14}^{2} \times {\left({y}^{5}\right)}^{2}}$

$= \sqrt{{14}^{2}} \times \sqrt{{\left({y}^{5}\right)}^{2}}$

$= \left\mid 14 \right\mid \times \left\mid {y}^{5} \right\mid \textcolor{w h i t e}{\text{XXX}}$...we use absolute values to ensure principal roots only)

$= \left\mid 14 {y}^{5} \right\mid$