What is 1/(sqrt(a)-\sqrt{b)} ?

The solution to 1/(sqrt(a)-\sqrt{b)} is (sqrt(a)+sqrt(b))/(a-b)

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simplify 1/(sqrt(a)-\sqrt{b)}

simplify

\frac{1}{a - b}

\frac{a + b}{a - b}

Solution steps

\frac{1}{a - b}

Multiply by the conjugate

\frac{a + b}{a + b}

= \frac{1 \cdot ( a + b )}{( a - b ) ( a + b )}

1 \cdot (a + b) = a + b

(a - b) (a + b) = a - b

= \frac{a + b}{a - b}

- 8 + 20

- 10 \div 10

7 a^{2} + 10 a - 3 a - 2 a^{2}

9 + 9 x

9 - 21

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