What is y/(sqrt(6)+\sqrt{y)} ?

The solution to y/(sqrt(6)+\sqrt{y)} is (y(sqrt(6)-sqrt(y)))/(6-y)

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simplify y/(sqrt(6)+\sqrt{y)}

simplify

\frac{y}{6 + y}

\frac{y ( 6 - y )}{6 - y}

Solution steps

\frac{y}{6 + y}

Multiply by the conjugate

\frac{6 - y}{6 - y}

= \frac{y ( 6 - y )}{( 6 + y ) ( 6 - y )}

(6 + y) (6 - y) = 6 - y

= \frac{y ( 6 - y )}{6 - y}

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What is y/(sqrt(6)+\sqrt{y)} ?
The solution to y/(sqrt(6)+\sqrt{y)} is (y(sqrt(6)-sqrt(y)))/(6-y)