Question

How do you simplify `sqrt32 + sqrt8`?

Answer 1

We can decouple the numbers inside the square roots:

`sqrt(2*2*2*2*2)+sqrt(2*2*)`

As we are dealing with square roots, we can factor out all the squared numbers from inside the roots:

`sqrt(2^2*2^2*2)+sqrt(2^2*2)`
`sqrt(4*4*2)+sqrt(4*2)`
`sqrt(16*2)+sqrt(4*2)`
`4sqrt(2)+2sqrt(2)`
`6sqrt(2)`