How do you rationalize the denominator and simplify sqrt18/sqrt3?

1 Answer
May 14, 2016

18=3*3*2 = 3^2*2

sqrt(18)/sqrt(3)

sqrt(3^2*2)/sqrt(3)

(sqrt(3^2)*sqrt(2))/sqrt(3)

(3*sqrt(2))/sqrt(3)

(3*sqrt(2))/sqrt(3)*(sqrt(3))/(sqrt(3))

(3*sqrt(2)*sqrt(3))/3

(cancel(3)*sqrt(2)*sqrt(3))/cancel(3)

sqrt(2*3)