Question

How do you simplify `5sqrt6 + 2sqrt10`?

Answer 1

`5 sqrt 6 + 2 sqrt 10` can be written as `sqrt 5 * sqrt 5 * sqrt 2 * sqrt 3 + 2 * sqrt 2 * sqrt 5`

Taking the common factors outside, we get

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

= `sqrt 10 ( 2 + sqrt 15)`