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

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

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

simplify

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

\frac{( x - 1 ) ( x - 2 )}{x - 4}

Solution steps

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

Multiply by the conjugate

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

= \frac{( x - 1 ) ( x - 2 )}{( x + 2 ) ( x - 2 )}

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

= \frac{( x - 1 ) ( x - 2 )}{x - 4}

(- 3 - 2 i) - (- 5 + i)

\frac{x ^{2} + 2 x - 15}{x ^{2} - x - 6}

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

(4 x) (4 x)

(5 x^{2} + 2)^{2}

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