How do you simplify $1 / (((11x)sqrt5)-((3y)sqrt3))$ ?

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Answer 1 · 2017-04-25T05:15:38

$1/(11xsqrt5-3ysqrt3)=(11xsqrt5+3ysqrt3)/(605x^2-27y^2)$

To simplify $1/(11xsqrt5-3ysqrt3)$ , we should multiply numerator and denominator by conjugate of denominator i.e. $(11xsqrt5+3ysqrt3)$

Hence $1/(11xsqrt5-3ysqrt3)=(11xsqrt5+3ysqrt3)/((11xsqrt5-3ysqrt3)(11xsqrt5+3ysqrt3))$

= $(11xsqrt5+3ysqrt3)/((11xsqrt5)^2-(3ysqrt3)^2)$

= $(11xsqrt5+3ysqrt3)/((121x^2xx5)-(9y^2xx3))$

= $(11xsqrt5+3ysqrt3)/(605x^2-27y^2)$

How do you simplify 1 / (((11x)sqrt5)-((3y)sqrt3)) 1 / (((11x)sqrt5)-((3y)sqrt3))?