What is 1/(13-sqrt(11)) ?

The solution to 1/(13-sqrt(11)) is (13+sqrt(11))/(158)

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simplify 1/(13-sqrt(11))

simplify

\frac{1}{13 - 11}

\frac{13 + 11}{158}

Decimal Notation

0.10326 \dots

Solution steps

\frac{1}{13 - 11}

Multiply by the conjugate

\frac{13 + 11}{13 + 11}

= \frac{1 \cdot ( 13 + 11 )}{( 13 - 11 ) ( 13 + 11 )}

1 \cdot (13 + 11) = 13 + 11

(13 - 11) (13 + 11) = 158

= \frac{13 + 11}{158}

- \frac{5}{6} + \frac{1}{3}

(\frac{2}{3} + x) (\frac{2}{3} - x)

- 11 - (- 4)

1575 - 827

\frac{1}{2 ( \frac{4}{x} - 3 ) + 6}

What is 1/(13-sqrt(11)) ?
The solution to 1/(13-sqrt(11)) is (13+sqrt(11))/(158)