What is factor x/(sqrt(x+1)-1) ?

The solution to factor x/(sqrt(x+1)-1) is sqrt(x+1)+1

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factor x/(sqrt(x+1)-1)

factor

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

x + 1 + 1

Solution steps

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

Multiply by the conjugate

\frac{x + 1 + 1}{x + 1 + 1}

= \frac{x ( x + 1 + 1 )}{( x + 1 - 1 ) ( x + 1 + 1 )}

(x + 1 - 1) (x + 1 + 1) = x

= \frac{x ( x + 1 + 1 )}{x}

Cancel the common factor:

x

= x + 1 + 1

x^{2} - x y + x z - yz

2 x^{2} + 4 x + 2 + x + 1

6.4

2 m^{2} n - mn p - 6 m + 3 p

(x + 3)^{2} - 7

What is factor x/(sqrt(x+1)-1) ?
The solution to factor x/(sqrt(x+1)-1) is sqrt(x+1)+1