# How do you simplify the square root of 6 times square root of 60?

Apr 4, 2018

$6 \sqrt{10}$

#### Explanation:

$\sqrt{6} \times \sqrt{60}$

$\sqrt{6 \times 60}$

$\sqrt{2 \times 3 \times 2 \times 3 \times 5 \times 2}$

$\sqrt{\textcolor{g r e e n}{2} \times \textcolor{g r e e n}{2} \times \textcolor{g r e e n}{3} \times \textcolor{g r e e n}{3} \times 2 \times 5}$

$\sqrt{{2}^{2} \times {3}^{2} \times 10}$

$2 \times 3 \sqrt{10}$

$6 \sqrt{10}$