What is 2/(4+sqrt(5)) ?

The solution to 2/(4+sqrt(5)) is (8-2sqrt(5))/(11)

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simplify 2/(4+sqrt(5))

simplify

\frac{2}{4 + 5}

\frac{8 - 2 5}{11}

Decimal Notation

0.32071 \dots

Solution steps

\frac{2}{4 + 5}

Multiply by the conjugate

\frac{4 - 5}{4 - 5}

= \frac{2 ( 4 - 5 )}{( 4 + 5 ) ( 4 - 5 )}

Expand

2 (4 - 5) : 8 - 25

Expand

(4 + 5) (4 - 5) : 11

= \frac{8 - 2 5}{11}

\frac{7 ^{- 5}}{7 ^{- 3}}

(\frac{4}{x ^{2}})^{2}

- 3 (- 8)

- 5 b - 7 - 4 b - 9

9 (x - 3) - (x + 2)