What is factor x/(sqrt(x+4)-2) ?

The solution to factor x/(sqrt(x+4)-2) is sqrt(x+4)+2

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factor x/(sqrt(x+4)-2)

factor

\frac{x}{x + 4 - 2}

x + 4 + 2

Solution steps

\frac{x}{x + 4 - 2}

Multiply by the conjugate

\frac{x + 4 + 2}{x + 4 + 2}

= \frac{x ( x + 4 + 2 )}{( x + 4 - 2 ) ( x + 4 + 2 )}

(x + 4 - 2) (x + 4 + 2) = x

= \frac{x ( x + 4 + 2 )}{x}

Cancel the common factor:

x

= x + 4 + 2

sin^{2} (x) - 4 sin (x) + 3

y^{2} - 15 + 50

(x - 3) - 4 (x - 3)

\frac{d}{d x} ((t) (e^{x t}))

2 (x + 2)^{2} - 17 (x + 2) - 9

What is factor x/(sqrt(x+4)-2) ?
The solution to factor x/(sqrt(x+4)-2) is sqrt(x+4)+2