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

Jan 14, 2017

$y - \sqrt{5 y}$

#### Explanation:

Use the distributive property: $a \left(b + c\right) = a b + a c$

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

${\left(\sqrt{y}\right)}^{2} = y$, and since $\sqrt{a b} = \sqrt{a} \sqrt{b}$, the final result is:

$y - \sqrt{5 y}$

No further simplification is applicable, since 5 is not a perfect square.