展开 (2+sqrt(2))/6

解答

展开

\frac{2 + 2}{6}

\frac{1}{3} + \frac{1}{3 2}

十进制

0.56903 \dots

求解步骤

\frac{2 + 2}{6}

使用分式法则:

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

\frac{2 + 2}{6} = \frac{2}{6} + \frac{2}{6}

= \frac{2}{6} + \frac{2}{6}

消掉

\frac{2}{6} : \frac{1}{3}

= \frac{1}{3} + \frac{2}{6}

消掉

\frac{2}{6} : \frac{1}{3 2}

= \frac{1}{3} + \frac{1}{3 2}

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