How do you simplify #sqrt7*sqrt5#?

1 Answer
Sep 26, 2016

Answer:

Multiply the square roots

Explanation:

#sqrt7# x #sqrt5#

Multiply the 7 and 5
#sqrt35#

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:

#sqrt4# x #sqrt2#

Multiply 4 and 2
#sqrt8#

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

#sqrt4# x #sqrt2#

Take the square root of 4
#+-#2#sqrt2#