展开 (2500(-104+43sqrt(3)))/(5787)

解答

展开

\frac{2500 ( - 104 + 43 3 )}{5787}

- \frac{260000}{5787} + \frac{107500}{1929 3}

十进制

- 12.75350 \dots

求解步骤

\frac{2500 ( - 104 + 43 3 )}{5787}

乘开

2500 (- 104 + 433) : - 260000 + 1075003

= \frac{- 260000 + 107500 3}{5787}

使用分式法则:

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

\frac{- 260000 + 107500 3}{5787} = - \frac{260000}{5787} + \frac{107500 3}{5787}

= - \frac{260000}{5787} + \frac{107500 3}{5787}

\frac{107500 3}{5787} = \frac{107500}{1929 3}

= - \frac{260000}{5787} + \frac{107500}{1929 3}

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