# How do you simplify sqrt(25x^2y)?

Jun 6, 2018

$5 x \sqrt{y}$

#### Explanation:

$= \sqrt{25 {x}^{2} y}$

$= \sqrt{{5}^{2} {x}^{2} y}$

$= 5 x \sqrt{y}$

Jun 6, 2018

$5 x {y}^{\frac{1}{2}}$

#### Explanation:

The square roof of the products is the same as the product of the square roots, so we can rewrite this as

$\textcolor{red}{\sqrt{25}} \cdot \textcolor{b l u e}{\sqrt{{x}^{2}}} \cdot \textcolor{\mathmr{and} \chi d}{\sqrt{y}}$

This simplifies to

$\textcolor{red}{5} \textcolor{b l u e}{x} \textcolor{\mathmr{and} \chi d}{\sqrt{y}}$

Which can be rewritten as

$\textcolor{red}{5} \textcolor{b l u e}{x} \textcolor{\mathmr{and} \chi d}{{y}^{\frac{1}{2}}}$

Hope this helps!