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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{x - 2}{x - 2}

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

Simplify

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

(x + 2) (x - 2) = x - 4

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

b^{2} - (b - 2 x)^{2}

\frac{3}{- 2 + 13}

\frac{x ^{2} + 5 x + 6}{x ^{2} - 9}

- \frac{1}{6} - \frac{8}{9}

(2 x - 1) (2 x^{2} - 5 x - 3)

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