How do you simplify 1 / (((11x)sqrt5)-((3y)sqrt3))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Shwetank Mauria Apr 25, 2017 1/(11xsqrt5-3ysqrt3)=(11xsqrt5+3ysqrt3)/(605x^2-27y^2) Explanation: To simplify 1/(11xsqrt5-3ysqrt3), we should multiply numerator and denominator by conjugate of denominator i.e. (11xsqrt5+3ysqrt3) Hence 1/(11xsqrt5-3ysqrt3)=(11xsqrt5+3ysqrt3)/((11xsqrt5-3ysqrt3)(11xsqrt5+3ysqrt3)) = (11xsqrt5+3ysqrt3)/((11xsqrt5)^2-(3ysqrt3)^2) = (11xsqrt5+3ysqrt3)/((121x^2xx5)-(9y^2xx3)) = (11xsqrt5+3ysqrt3)/(605x^2-27y^2) 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 1136 views around the world You can reuse this answer Creative Commons License