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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

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

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

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

30 \cdot 6

\frac{x}{5 x - 6} - \frac{x - 1}{7 x}

\frac{1}{18}

2 (x - 1) (x + 3)

(x - \frac{2}{3})^{2}

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