What is 1/(5+sqrt(6)) ?

The solution to 1/(5+sqrt(6)) is (5-sqrt(6))/(19)

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simplify 1/(5+sqrt(6))

simplify

\frac{1}{5 + 6}

\frac{5 - 6}{19}

Decimal Notation

0.13423 \dots

Solution steps

\frac{1}{5 + 6}

Multiply by the conjugate

\frac{5 - 6}{5 - 6}

= \frac{1 \cdot ( 5 - 6 )}{( 5 + 6 ) ( 5 - 6 )}

1 \cdot (5 - 6) = 5 - 6

(5 + 6) (5 - 6) = 19

= \frac{5 - 6}{19}

(5 x^{2} y^{3})^{2}

9 (2 k + 3) + 2 = 11 (k - 5)

\frac{3}{4 - 9 i}

6 x^{2} + 23 x y + 7 y^{2}

7 (r - 3) \geq - 13