What is 6/((4+sqrt(x))) ?

The solution to 6/((4+sqrt(x))) is (6(4-sqrt(x)))/(16-x)

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simplify 6/((4+sqrt(x)))

simplify

\frac{6}{( 4 + x )}

\frac{6 ( 4 - x )}{16 - x}

Solution steps

\frac{6}{4 + x}

Multiply by the conjugate

\frac{4 - x}{4 - x}

= \frac{6 ( 4 - x )}{( 4 + x ) ( 4 - x )}

(4 + x) (4 - x) = 16 - x

= \frac{6 ( 4 - x )}{16 - x}

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What is 6/((4+sqrt(x))) ?
The solution to 6/((4+sqrt(x))) is (6(4-sqrt(x)))/(16-x)