Question

How do you simplify `sqrt6 (sqrt5 - sqrt7)`?

Answer 1

`sqrt30-sqrt42`

Explanation:

Recall that `sqrta(sqrtb)=sqrt(a*b)`. This allows us to simplify this expression as

`sqrt(6*5)-sqrt(6*7)`

`color(blue)(sqrt30)-color(red)(sqrt42)`

There are no perfect squares in `30` or `42`, so we can't simplify this any further.

Hope this helps!