# How do you simplify 3 sqrt (50) + sqrt (24) - 2 sqrt(18)?

Mar 7, 2016

$= 9 \sqrt{2} + 2 \sqrt{6}$
$3 \sqrt{50} + \sqrt{24} - 2 \sqrt{18}$
$= 3 \sqrt{2 \cdot {5}^{2}} + \sqrt{6 \cdot {2}^{2}} - 2 \sqrt{2 \cdot {3}^{2}}$
$= 15 \sqrt{2} + 2 \sqrt{6} - 6 \sqrt{2}$
$= 9 \sqrt{2} + 2 \sqrt{6}$