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

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

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simplify (x+1)/(sqrt(x^2-1))

simplify

\frac{x + 1}{x ^{2} - 1}

\frac{x ^{2} - 1}{x - 1}

Solution steps

\frac{x + 1}{x ^{2} - 1}

Multiply by the conjugate

\frac{x ^{2} - 1}{x ^{2} - 1}

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

x^{2} - 1 x^{2} - 1 = x^{2} - 1

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

Factor

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

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

Cancel the common factor:

x + 1

= \frac{x ^{2} - 1}{x - 1}

\frac{1}{2} \cdot 0.1

\frac{1}{2} \cdot 1.5

3 \frac{1}{5} + 2 \frac{3}{4}

2 (2 + 3 i) - 3 (- 1 + 4 i)

\frac{5}{6} \div \frac{4}{3}

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