展开 (16pi(125-21sqrt(21)))/3

解答

展开

\frac{16 π ( 125 - 21 21 )}{3}

\frac{2000 π}{3} - 11221 π

十进制

481.97745 \dots

求解步骤

\frac{16 π ( 125 - 21 21 )}{3}

乘开

16 π (125 - 2121) : 2000 π - 33621 π

= \frac{2000 π - 336 21 π}{3}

使用分式法则:

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

\frac{2000 π - 336 21 π}{3} = \frac{2000 π}{3} - \frac{336 21 π}{3}

= \frac{2000 π}{3} - \frac{336 21 π}{3}

数字相除:

\frac{336}{3} = 112

= \frac{2000 π}{3} - 11221 π

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