What is 1/(sqrt(5)-\sqrt{2)} ?

The solution to 1/(sqrt(5)-\sqrt{2)} is (sqrt(5)+sqrt(2))/3

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simplify 1/(sqrt(5)-\sqrt{2)}

simplify

\frac{1}{5 - 2}

\frac{5 + 2}{3}

Decimal Notation

1.21676 \dots

Solution steps

\frac{1}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{1 \cdot ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

1 \cdot (5 + 2) = 5 + 2

(5 - 2) (5 + 2) = 3

= \frac{5 + 2}{3}

1 \div \frac{9}{2}

\frac{x + 4}{x + 2} + \frac{2 x + 7}{x + 2}

- 22 + 3

- 23 + 4

\frac{2}{5} - \frac{1}{9}

What is 1/(sqrt(5)-\sqrt{2)} ?
The solution to 1/(sqrt(5)-\sqrt{2)} is (sqrt(5)+sqrt(2))/3