展开 (5(9-sqrt(201)))/3

解答

展开

\frac{5 ( 9 - 201 )}{3}

15 - \frac{5 67}{3}

十进制

- 8.62907 \dots

求解步骤

\frac{5 ( 9 - 201 )}{3}

乘开

5 (9 - 201) : 45 - 5201

= \frac{45 - 5 201}{3}

使用分式法则:

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

\frac{45 - 5 201}{3} = \frac{45}{3} - \frac{5 201}{3}

= \frac{45}{3} - \frac{5 201}{3}

数字相除:

\frac{45}{3} = 15

= 15 - \frac{5 201}{3}

消掉

\frac{5 201}{3} : \frac{5 67}{3}

= 15 - \frac{5 67}{3}

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