How do you find the value of 3 square root 27?

Jul 11, 2015

$3 \sqrt{27} = 9 \sqrt{3}$
If $a , b \ge 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$
$3 \sqrt{27} = 3 \sqrt{{3}^{2} \cdot 3} = 3 \sqrt{{3}^{2}} \sqrt{3} = 3 \cdot 3 \sqrt{3} = 9 \sqrt{3}$