2(x-y) over square root x minus squareroot of y

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13-09-2016
Mathematics

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2(x-y) over square root x minus squareroot of y

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CaptainBeyond CaptainBeyond · Answer 1 · 2016-09-13T22:43:05+02:00

2(x-y) times it by the conjugate: sqrt(x) + sqrt(y)
_____________ _____________
sqrt(x) - sqrt(y) sqrt(x) + sqrt(y)

= 2x-2y (sqrt(x) + sqrt(y)) Now simplify: 2xsqrt(x) + 2xsqrt(y) - 2ysqrt(x) -2ysqrt(y)
_________________ ____________________________
x - y x - y

2 (x (sqrt(x) + sqrt(y)) - y (sqrt(x) + sqrt(y))) Does that help?