What is (-3)/(4+sqrt(17)) ?

The solution to (-3)/(4+sqrt(17)) is 12-3sqrt(17)

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simplify (-3)/(4+sqrt(17))

simplify

\frac{- 3}{4 + 17}

12 - 317

Decimal Notation

- 0.36931 \dots

Solution steps

\frac{- 3}{4 + 17}

Multiply by the conjugate

\frac{4 - 17}{4 - 17}

= \frac{- 3 ( 4 - 17 )}{( 4 + 17 ) ( 4 - 17 )}

Expand

- 3 (4 - 17) : - 12 + 317

Expand

(4 + 17) (4 - 17) : - 1

= \frac{- 12 + 3 17}{- 1}

\frac{- 12 + 3 17}{- 1} = 12 - 317

= 12 - 317

13 + (- 29)

4 m^{2} - 16

- 12 \cdot (- 3)

y^{4} \cdot y^{- 7}