# How do you express (sqrt3+sqrt5)(sqrt3+sqrt5) in simplest radical form?

Mar 9, 2018

$= \left(8 + 2 \sqrt{15}\right)$
$= \left(\sqrt{3} + \sqrt{5}\right) \cdot \left(\sqrt{3} + \sqrt{5}\right)$
$= \left(3 + \sqrt{15} + \sqrt{15} + 5\right)$
$= \left(8 + 2 \sqrt{15}\right)$