What is (x-5)/(sqrt(x)-\sqrt{5)} ?

The solution to (x-5)/(sqrt(x)-\sqrt{5)} is sqrt(x)+sqrt(5)

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simplify (x-5)/(sqrt(x)-\sqrt{5)}

simplify

\frac{x - 5}{x - 5}

x + 5

Solution steps

\frac{x - 5}{x - 5}

Multiply by the conjugate

\frac{x + 5}{x + 5}

= \frac{( x - 5 ) ( x + 5 )}{( x - 5 ) ( x + 5 )}

(x - 5) (x + 5) = x - 5

= \frac{( x - 5 ) ( x + 5 )}{x - 5}

Cancel the common factor:

x - 5

= x + 5

\frac{5}{2} - \frac{4}{11}

3 x (x^{2})

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

\frac{x ^{6} y ^{14}}{x ^{4} y ^{9}}

2 (- 7)

What is (x-5)/(sqrt(x)-\sqrt{5)} ?
The solution to (x-5)/(sqrt(x)-\sqrt{5)} is sqrt(x)+sqrt(5)