Question

How do you simplify `(5sqrt10)/sqrt2`?

Answer 1

`5sqrt5`

Explanation:

To simplify this, we can rewrite the `sqrt(10)` as follows:

`sqrt(10) = sqrt (2*5) = sqrt(2)sqrt5`

With that we know that the top of the fraction will be:

`(5sqrt(2)sqrt(5))/sqrt(2)`

And now we can cancel the `sqrt2` to obtain:

`5sqrt5`