Question

How do you simplify `sqrt175 - sqrt27 +sqrt28?`

Answer 1

`7sqrt(7)-3sqrt(3)`

Explanation:

We have
`sqrt(7*25)-sqrt(3*9)+sqrt(4*7)=5sqrt(7)-3sqrt(3)+2sqrt(7)`
using that
`sqrt(ab)=sqrt(a)*sqrt(b)` for `a,b>=0`