What is the square root of 18 plus the square root of 32?
February 20th, 2023
##sqrt(18)+sqrt(32) = 7sqrt(2)##
Use ##sqrt(ab) = sqrt(a)sqrt(b)## for ##a, b >= 0## …
##sqrt(18)+sqrt(32)##
##=sqrt(3^2*2)+sqrt(4^2*2)##
##=3sqrt(2)+4sqrt(2)##
##=(3+4)sqrt(2)##
##=7sqrt(2)##