# How do you simplify 5sqrt5(3+sqrt5)?

Mar 14, 2018

$15 \sqrt{5} + 25$
Distribute the $5 \sqrt{5}$:
$5 \sqrt{5} \left(3 + \sqrt{5}\right)$
$5 \sqrt{5} \cdot 3 + 5 \sqrt{5} \cdot \sqrt{5}$
$15 \sqrt{5} + 5 \cdot 5$
$15 \sqrt{5} + 25$