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

The solution to (sqrt(x)+1)/(sqrt(x)-1) is ((sqrt(x)+1)^2)/(x-1)

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

simplify

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

\frac{( x + 1 ) ^{2}}{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 )}

Simplify

(x + 1) (x + 1) : (x + 1)^{2}

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

= \frac{( x + 1 ) ^{2}}{x - 1}

\frac{- 8 + 24 i}{4 - 4 i}

\frac{- 63}{7}

3 x^{5} - 7 x^{4} + 2 x^{2} - 4 x

\frac{43 - 1}{4 + 2} 10

3 x^{2} + 5 x - 22

What is (sqrt(x)+1)/(sqrt(x)-1) ?
The solution to (sqrt(x)+1)/(sqrt(x)-1) is ((sqrt(x)+1)^2)/(x-1)