Question

How do you combine `3sqrt75+5sqrt100`?

Answer 1

You first try to find squares under the radical sign.

Explanation:

`75=3*25=3*5^2`
`100=10^2`

So we can rewrite:

`=3*sqrt(5^2)*sqrt3+5*sqrt(10^2)`

`=3*5*sqrt3+5*10`

`=50+15sqrt3`