# How do you simplify sqrt5*sqrt15?

Mar 22, 2017

$5 \sqrt{3}$

#### Explanation:

When multiplying radicals, you can just multiply the numbers under the root symbol and put them under a single root symbol.
Ex: $\sqrt{5} \times \sqrt{15}$ = $\sqrt{5 \times 15}$
Thus, this can be rewritten as $\sqrt{25 \times 3}$
This is the same as $\sqrt{25} \times \sqrt{3}$
The square root of 25 is 5, so the final answer is
$5 \sqrt{3}$