How do you simplify sqrt7*sqrt5?

Sep 26, 2016

Multiply the square roots

Explanation:

$\sqrt{7}$ x $\sqrt{5}$

Multiply the 7 and 5
$\sqrt{35}$

The square root of 35 cannot be simplified any further. If the number under the square root was divisible be a number that was also a square root, then it could have been simplified further.
For example:

$\sqrt{4}$ x $\sqrt{2}$

Multiply 4 and 2
$\sqrt{8}$

Since 8 can be divided by a number that is a square root, 4, it can be simplified further.

$\sqrt{4}$ x $\sqrt{2}$

Take the square root of 4
$\pm$2$\sqrt{2}$