展开 (8pi(36*6^{1/4}-1))/9

解答

展开

\frac{8 π ( 36 \cdot 6 ^{\frac{1}{4}} - 1 )}{9}

32 \cdot 6^{\frac{1}{4}} π - \frac{8 π}{9}

十进制

154.54693 \dots

求解步骤

\frac{8 π ( 36 \cdot 6 ^{\frac{1}{4}} - 1 )}{9}

乘开

8 π (36 \cdot 6^{\frac{1}{4}} - 1) : 288 \cdot 6^{\frac{1}{4}} π - 8 π

= \frac{288 \cdot 6 ^{\frac{1}{4}} π - 8 π}{9}

使用分式法则:

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

\frac{288 \cdot 6 ^{\frac{1}{4}} π - 8 π}{9} = \frac{288 \cdot 6 ^{\frac{1}{4}} π}{9} - \frac{8 π}{9}

= \frac{288 \cdot 6 ^{\frac{1}{4}} π}{9} - \frac{8 π}{9}

数字相除:

\frac{288}{9} = 32

= 32 \cdot 6^{\frac{1}{4}} π - \frac{8 π}{9}

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