What is 1/(sqrt(x^2-4)) ?

The solution to 1/(sqrt(x^2-4)) is (sqrt(x^2-4))/(x^2-4)

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simplify 1/(sqrt(x^2-4))

simplify

\frac{1}{x ^{2} - 4}

\frac{x ^{2} - 4}{x ^{2} - 4}

Solution steps

\frac{1}{x ^{2} - 4}

Multiply by the conjugate

\frac{x ^{2} - 4}{x ^{2} - 4}

= \frac{1 \cdot x ^{2} - 4}{x ^{2} - 4 x ^{2} - 4}

1 \cdot x^{2} - 4 = x^{2} - 4

x^{2} - 4 x^{2} - 4 = x^{2} - 4

= \frac{x ^{2} - 4}{x ^{2} - 4}

2^{4 - 1}

\frac{2 b + 2 a}{2}

(u + 3)^{2}

- \frac{24}{3}

\frac{8}{7}

What is 1/(sqrt(x^2-4)) ?
The solution to 1/(sqrt(x^2-4)) is (sqrt(x^2-4))/(x^2-4)