# How do you simplify sqrt 5(sqrt5+2)?

Mar 10, 2018

See a solution process below:

#### Explanation:

To simplify this expression multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{\sqrt{5}} \left(\sqrt{5} + 2\right) \implies$

$\textcolor{red}{\sqrt{5}} \sqrt{5} + \left(\textcolor{red}{\sqrt{5}} \times 2\right) \implies$

$5 + 2 \sqrt{5}$

Mar 10, 2018

$5 + 2 \sqrt{5}$

#### Explanation:

Like we would distribute a term outside to the terms in parentheses, we would do the same with the radical. This expression will be equal to:

$\left(\sqrt{5} \cdot \sqrt{5}\right) + 2 \sqrt{5}$

Which is equal to:

$= {\left(\sqrt{5}\right)}^{2} + 2 \sqrt{5}$

The radical and squaring the radical will cancel out, and we get:

$5 + 2 \sqrt{5}$

as our final answer. Hope this helps!