How do you simplify sqrt5(2sqrt5 - sqrt4)?

Apr 1, 2018

$10 - 2 \sqrt{5}$

Explanation:

Distribute $\sqrt{5} :$

$\sqrt{5} \left(2 \sqrt{5} - \sqrt{4}\right) = 2 \sqrt{5} \sqrt{5} - \sqrt{4} \sqrt{5}$

Recall that $\sqrt{a} \sqrt{a} = a$

So, we have

$2 \left(5\right) - \sqrt{4} \sqrt{5}$

$\sqrt{4} = 2 ,$ so we end up with

$10 - 2 \sqrt{5}$