展开 (5pi(2+sqrt(2)))/(32)

解答

展开

\frac{5 π ( 2 + 2 )}{32}

\frac{5 π}{16} + \frac{5 π}{16 2}

十进制

1.67594 \dots

求解步骤

\frac{5 π ( 2 + 2 )}{32}

乘开

5 π (2 + 2) : 10 π + 52 π

= \frac{10 π + 5 2 π}{32}

使用分式法则:

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

\frac{10 π + 5 2 π}{32} = \frac{10 π}{32} + \frac{5 2 π}{32}

= \frac{10 π}{32} + \frac{5 2 π}{32}

\frac{10 π}{32} = \frac{5 π}{16}

\frac{5 2 π}{32} = \frac{5 π}{16 2}

= \frac{5 π}{16} + \frac{5 π}{16 2}

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