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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

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

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

Factor

x^{2} - 4 : (x + 2) (x - 2)

= \frac{( x - 2 ) x ^{2} - 4}{( x + 2 ) ( x - 2 )}

Cancel the common factor:

x - 2

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

9 \cdot 1 0^{- 7}

\frac{7 π}{6} + π

(- 7 + 5 i) - (- 9 - 11 i)

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

(3 a^{5} b^{- 7})^{- 3}

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