How do you rationalize the denominator and simplify $( 2sqrtx - 3sqrty)/(sqrtx + sqrty)$ ?

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Answer 1 · 2017-11-11T15:43:04

The answer is $=(2x-5sqrt(xy)+3y)/(x-y)$

Let $p=(2sqrtx-3sqrty)/(sqrtx+sqrty)$

Multiply the numerator and denominator by $(sqrtx-sqrty)$

Therefore,

$p=((2sqrtx-3sqrty)((sqrtx-sqrty)))/((sqrtx+sqrty)((sqrtx-sqrty)))$

$=(2x-5sqrt(xy)+3y)/(x-y)$

How do you rationalize the denominator and simplify ( 2sqrtx - 3sqrty)/(sqrtx + sqrty)( 2sqrtx - 3sqrty)/(sqrtx + sqrty)?