展開する (2500(-104+43sqrt(3)))/(5787)

解

展開する

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

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

十進法表記

- 12.75350 \dots

解答ステップ

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

拡張

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

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

分数の規則を適用する:

\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}