# How do you simplify sqrt5(6-sqrt5)?

Apr 24, 2018

$6 \sqrt{5} - 5$

#### Explanation:

Given: $\sqrt{5} \left(6 - \sqrt{5}\right)$

Using the distributive property, $a \left(b - c\right) = a b - a c$.

$\therefore = 6 \sqrt{5} - \sqrt{5} \cdot \sqrt{5}$

$= 6 \sqrt{5} - {\left(\sqrt{5}\right)}^{2}$

$= 6 \sqrt{5} - 5$