Question

How do you add `2sqrt18 + 5sqrt32`?

Answer 1

Both of the given radicals can be simplified and the resulting radicals are the same value
`sqrt(18) = sqrt(3*3*2) = 3 sqrt(2)`
and
`sqrt(32) = sqrt(4*4*2) = 4 sqrt(2)`

So
`2sqrt(18) + 5 sqrt(32)`

`=2* 3 sqrt(2) + 5* 4sqrt(2)`

`= 26 sqrt(2)`