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

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

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

simplify

\frac{1}{y - x}

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

Solution steps

\frac{1}{y - x}

Multiply by the conjugate

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

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

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

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

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

8^{3} + 27

12 - 9 x = - 3 (x + 10)

i^{5}

5 (x + 2) > 2 x + 2

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