# How do you multiply -7sqrt3 *2sqrt10?

Mar 24, 2018

$- 14 \sqrt{30}$

#### Explanation:

This is a binomial separated by a multiplication sign.

To handle this:

1. multiply everything NOT under the square root signs or radicals
2. multiply everything under the radicals
3. combine (by multiplying those two terms together):

$- 7 \times 2 = - 14$

$\sqrt{3} \times \sqrt{10} = \sqrt{30}$

Since $\sqrt{30}$ cannot be simplified, $- 14 \sqrt{30}$ is the answer.