How do you simplify 3sqrt8+3sqrt2?

Dec 18, 2016

$9 \sqrt{2}$

Explanation:

rewrite the roots as the same square root where possible

$3 \sqrt{8} + 3 \sqrt{2}$

$= 3 \sqrt{4 \times 2} + 3 \sqrt{2}$

$= 3 \times 2 \sqrt{2} + 3 \sqrt{2}$

$= 6 \sqrt{2} + 3 \sqrt{2}$

$= 9 \sqrt{2}$