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

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

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

factor

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

x + 1

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

x - 1

= x + 1

4^{2} - 9

- cos (9 α + 6 θ) sin (9 α + 6 θ)

+ 2 (p - q)^{2} - (p - q) - 1

3 x + (- 2)

2 y w + 3 x y - 8 w z - 12 x z

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