How do you simplify $3/(sqrt(5x)-3)$ ?

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Answer 1 · 2016-09-02T13:32:41

$(3sqrt(5x )+9)/(5x-9)$

It is not good practice to have a radical in the denominator - we get rid of it by "rationalising the denominator"

$3/(sqrt(5x) -3) xx (sqrt(5x) +3)/(sqrt(5x) +3) = (3(sqrt(5x)+3))/(sqrt(5x)^2 - 3^2)$

= $(3sqrt(5x )+9)/(5x-9)$

How do you simplify 3/(sqrt(5x)-3)3/(sqrt(5x)-3)?