Question

How do you simplify `sqrt15 2+sqrt5`?

Answer 1

`sqrt(152)+sqrt5=color(blue)(2sqrt(38)+sqrt5`

Explanation:

Simplify.

`sqrt(152)+sqrt5`

Prime factorize `152`.

`sqrt(2xx2xx2xx19)+sqrt5`

`sqrt((2xx2)xx2xx19)+sqrt5`

`2sqrt(38)+sqrt5`