Question

How do you simplify the square root of 40 + the square root of 90?

Answer 1

`sqrt(40)+sqrt(90)=5sqrt(10)`

Explanation:

Simplify the expression by finding perfect squares to take out of the radical signs.

`sqrt(40)+sqrt(90) = sqrt(4*10) + sqrt(9*10)`
`= sqrt(4)sqrt(10) + sqrt(9)sqrt(10) = 2sqrt(10) + 3sqrt(10)`
`= 5sqrt(10)`