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

##8sqrt(2)##

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)##