What is (-2)/(3-8sqrt(5)) ?

The solution to (-2)/(3-8sqrt(5)) is (6+16sqrt(5))/(311)

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simplify (-2)/(3-8sqrt(5))

simplify

\frac{- 2}{3 - 8 5}

\frac{6 + 16 5}{311}

Decimal Notation

0.13433 \dots

Solution steps

\frac{- 2}{3 - 8 5}

Multiply by the conjugate

\frac{3 + 8 5}{3 + 8 5}

= \frac{- 2 ( 3 + 8 5 )}{( 3 - 8 5 ) ( 3 + 8 5 )}

Expand

- 2 (3 + 85) : - 6 - 165

Expand

(3 - 85) (3 + 85) : - 311

= \frac{- 6 - 16 5}{- 311}

\frac{- 6 - 16 5}{- 311} = \frac{6 + 16 5}{311}

= \frac{6 + 16 5}{311}

- 12 - 36

\frac{2}{15} - \frac{4}{25}

8 \times 24

8 \times 2

- 7 + 18

What is (-2)/(3-8sqrt(5)) ?
The solution to (-2)/(3-8sqrt(5)) is (6+16sqrt(5))/(311)