What is 1/(sqrt(x)-\sqrt{y)} ?

The solution to 1/(sqrt(x)-\sqrt{y)} is (sqrt(x)+sqrt(y))/(x-y)

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simplify 1/(sqrt(x)-\sqrt{y)}

simplify

\frac{1}{x - y}

\frac{x + y}{x - y}

Solution steps

\frac{1}{x - y}

Multiply by the conjugate

\frac{x + y}{x + y}

= \frac{1 \cdot ( x + y )}{( x - y ) ( x + y )}

1 \cdot (x + y) = x + y

(x - y) (x + y) = x - y

= \frac{x + y}{x - y}

(3 - i) + (- 2 + 4 i)

\frac{3}{2} - \frac{1}{16}

16 a^{2}

- 2 - \frac{4}{3}

- 1 (x)

What is 1/(sqrt(x)-\sqrt{y)} ?
The solution to 1/(sqrt(x)-\sqrt{y)} is (sqrt(x)+sqrt(y))/(x-y)