What is 2/(6+sqrt(5)) ?

The solution to 2/(6+sqrt(5)) is (12-2sqrt(5))/(31)

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simplify 2/(6+sqrt(5))

simplify

\frac{2}{6 + 5}

\frac{12 - 2 5}{31}

Solution steps

\frac{2}{6 + 5}

Multiply by the conjugate

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

= \frac{2 ( 6 - 5 )}{( 6 + 5 ) ( 6 - 5 )}

Expand

2 (6 - 5) : 12 - 25

Expand

(6 + 5) (6 - 5) : 31

= \frac{12 - 2 5}{31}

\frac{x ^{3} - 9 x}{x ^{2} - 3 x}

\frac{3 - 2 i}{2 i}

\frac{1. 1 ^{4} - 1}{1. 1 ^{6} - 1}

5 + 2 (3 x - 4) - x

d^{2} + 3 d - 28