Question

How do you simplify: Square root of 50 + square root of 18?

Answer 1

`8sqrt(2)`

Explanation:

Recall the multiplicative property of square root for positive `a` and `b`:
`sqrt(a*b) = sqrt(a) * sqrt(b)`

Using this rule, we can write
`sqrt(50)=sqrt(25*2)=sqrt(25)*sqrt(2)=5sqrt(2)`

analogously,
`sqrt(18)=sqrt(9*2)=sqrt(9)*sqrt(2)=3sqrt(2)`

Adding them together and using the distributive law, we have
`sqrt(50)+sqrt(18)=5sqrt(2)+3sqrt(2)=8sqrt(2)`