How do you simplify sqrt(9x^2) /sqrt( 18y^2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Ch Mar 22, 2016 x/(sqrt(2)y) Explanation: sqrt(9x^2)/sqrt(18y^2) sqrt9=3 sqrt(x^2)=x sqrt18=sqrt(9xx2)=3sqrt2 sqrt(y^2)=y Therefore sqrt(9x^2)/sqrt(18y^2)=(3x)/(3sqrt(2) y)=x/(sqrt(2)y) 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 3943 views around the world You can reuse this answer Creative Commons License