# How do you simplify square root of 10 times square root of 6?

Apr 20, 2018

$\sqrt{10} \sqrt{6} = 2 \sqrt{15}$

#### Explanation:

Simplify:

$\sqrt{10} \sqrt{6} = \sqrt{60}$

Prime factorize $60$.

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

Apply rule: $\sqrt{{a}^{2}} = a$

$2 \sqrt{15}$