Question

What is the sum of the square root of 50 and the square root of 32?

Answer 1

Assuming only primary (i.e. positive) square roots
`sqrt(50)+sqrt(32) = 9sqrt(2)`

Explanation:

`sqrt(50) = sqrt(5^2xx2) = sqrt(5^2)xxsqrt(2) = 5sqrt(2)`

`sqrt(32) = sqrt(4^2xx2) = sqrt(4^2)xxsqrt(2)=4sqrt(2)`

`sqrt(50)+sqrt(32) = 5sqrt(2)+4sqrt(2)`
`color(white)("XXXXXXX") = 9sqrt(2)`