展开 (5(-104+43sqrt(3)))/(11574)

解答

展开

\frac{5 ( - 104 + 43 3 )}{11574}

- \frac{260}{5787} + \frac{215}{3858 3}

十进制

- 0.01275 \dots

求解步骤

\frac{5 ( - 104 + 43 3 )}{11574}

乘开

5 (- 104 + 433) : - 520 + 2153

= \frac{- 520 + 215 3}{11574}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 520 + 215 3}{11574} = - \frac{520}{11574} + \frac{215 3}{11574}

= - \frac{520}{11574} + \frac{215 3}{11574}

\frac{520}{11574} = \frac{260}{5787}

\frac{215 3}{11574} = \frac{215}{3858 3}

= - \frac{260}{5787} + \frac{215}{3858 3}

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