展开 (5(20+sqrt(106)))/(49)

解答

展开

\frac{5 ( 20 + 106 )}{49}

\frac{100}{49} + \frac{5 106}{49}

十进制

3.09139 \dots

求解步骤

\frac{5 ( 20 + 106 )}{49}

乘开

5 (20 + 106) : 100 + 5106

= \frac{100 + 5 106}{49}

使用分式法则:

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

\frac{100 + 5 106}{49} = \frac{100}{49} + \frac{5 106}{49}

= \frac{100}{49} + \frac{5 106}{49}

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