# How do you simplify the expression (3-sqrt5)^2?

May 25, 2017

$14 - 6 \sqrt{5}$

#### Explanation:

${\left(3 - \sqrt{5}\right)}^{2}$

expand

$\left(3 - \sqrt{5}\right) \times \left(3 - \sqrt{5}\right)$

multiply

$9 - 3 \sqrt{5} - 3 \sqrt{5} + 5$

simplify

$9 - 6 \sqrt{5} + 5$

$14 - 6 \sqrt{5}$

May 25, 2017

14 - 6$\sqrt{5}$