Question

How do you simplify `sqrt7*sqrt5`?

Answer 1

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`