How do you rationalize the denominator and simplify $6/(2sqrtx+sqrty)$ ?

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Answer 1 · 2018-06-08T17:41:43

$(6(2sqrt(x)-sqrt(y)))/(4x-y)$

Multiplying numerator and denominator by
$2sqrt(x)-sqrt(y)$ we get

$(6(sqrt(x)-sqrt(y)))/(4x-y)$
using that
$(a-b)(a+b)=a^2-b^2$

How do you rationalize the denominator and simplify 6/(2sqrtx+sqrty)6/(2sqrtx+sqrty)?