# What is the square root of 15 times the square root of 6?

Apr 11, 2018

$3 \sqrt{10}$

#### Explanation:

Remember that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$

$\sqrt{15} \cdot \sqrt{6} = \sqrt{15 \cdot 6}$

$\sqrt{90} \rightarrow$ This can be simplified further

$\sqrt{9 \cdot 10} \rightarrow$ 9 is a perfect square and can be taken out of the radical

$3 \sqrt{10}$

Apr 11, 2018

sqrt15sqrt6=color(blue)(3sqrt10

#### Explanation:

$\sqrt{15} \sqrt{6}$

Apply rule: $\sqrt{a} \sqrt{b} = \sqrt{a b}$

$\sqrt{15} \sqrt{6} = \sqrt{15 \times 6}$

Simplify.

$\sqrt{15} \sqrt{6} = \sqrt{90}$

$\sqrt{2 \times {3}^{2} \times 5}$
Apply $\sqrt{{a}^{2}} = a$
$3 \sqrt{10}$