展开 (2(45-sqrt(15)))/(15)

解答

展开

\frac{2 ( 45 - 15 )}{15}

6 - \frac{2}{15}

十进制

5.48360 \dots

求解步骤

\frac{2 ( 45 - 15 )}{15}

乘开

2 (45 - 15) : 90 - 215

= \frac{90 - 2 15}{15}

使用分式法则:

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

\frac{90 - 2 15}{15} = \frac{90}{15} - \frac{2 15}{15}

= \frac{90}{15} - \frac{2 15}{15}

数字相除:

\frac{90}{15} = 6

= 6 - \frac{2 15}{15}

消掉

\frac{2 15}{15} : \frac{2}{15}

= 6 - \frac{2}{15}

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