What is rationalizenumerator ((4-sqrt(x)))/((x-16)) ?

The solution to rationalizenumerator ((4-sqrt(x)))/((x-16)) is -1/(sqrt(x)+4)

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Rationalize the Numerator (4- square root of x)/(x-16)

rationalize numerator

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

- \frac{1}{x + 4}

Solution steps

\frac{4 - x}{x - 16}

Multiply by the conjugate

\frac{4 + x}{4 + x}

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

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

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

x - 16 = - (- x + 16)

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

Refine

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

Cancel the common factor:

16 - x

= - \frac{1}{x + 4}

x, 9^{x} = 4

- 17

m, \frac{( 2 m ^{2} + 3 m - 5 )}{( m ^{2} + 4 m - 5 )} = 4

cos (13 5^{\circ})

- 56/7

What is rationalizenumerator ((4-sqrt(x)))/((x-16)) ?
The solution to rationalizenumerator ((4-sqrt(x)))/((x-16)) is -1/(sqrt(x)+4)