# How do you simplify 5 sqrt8 times sqrt18?

Feb 1, 2016

$5 \sqrt{8} \times \sqrt{18} = 60$

#### Explanation:

Start by factoring the terms under the radicals.

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

We can now see that there are a couple of squares inside of the radicals.

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

Now we can move the squares out from under the radical signs.

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

Multiply all of the terms outside of the radicals to combine them.

$30 \times \sqrt{2} \times \sqrt{2}$

$= 30 \times {\sqrt{2}}^{2}$

Now we can get rid of the radicals.

$30 \times 2$

$= 60$