How do you rationalize the denominator and simplify sqrt18/sqrt3? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Sam 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) Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify 7/(""^3sqrt(5)? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))? See all questions in Multiplication and Division of Radicals Impact of this question 1518 views around the world You can reuse this answer Creative Commons License