展开 (5(8-sqrt(19)))/6

解答

展开

\frac{5 ( 8 - 19 )}{6}

\frac{20}{3} - \frac{5 19}{6}

十进制

3.03425 \dots

求解步骤

\frac{5 ( 8 - 19 )}{6}

乘开

5 (8 - 19) : 40 - 519

= \frac{40 - 5 19}{6}

使用分式法则:

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

\frac{40 - 5 19}{6} = \frac{40}{6} - \frac{5 19}{6}

= \frac{40}{6} - \frac{5 19}{6}

消掉

\frac{40}{6} : \frac{20}{3}

= \frac{20}{3} - \frac{5 19}{6}

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