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

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

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

simplify

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

x + 2

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 2

= x + 2

- 18 + - 50

6 (8 v + 2 w) + 6 v

\frac{x ^{2} - 9 x - 10}{x + 1}

\frac{- 18}{8}

70 \times 3