Question

How do you simplify `sqrt63+sqrt175+sqrt112`?

Answer 1

With difficulty......`12sqrt7`

Explanation:

As with fractions, we factorize the individual expressions and look for common terms.

`sqrt(63)+sqrt(175)+sqrt(112)` `=`

`sqrt(7xx9)+sqrt(7xx25)+sqrt(16xx7)`.

So, I think you see where this is going.

`=3sqrt7+5sqrt7+4sqrt7=12sqrt7`