展开 ((13-sqrt(11))sqrt(13+\sqrt{11)})/(79)

解答

展开

\frac{( 13 - 11 ) 13 + 11}{79}

\frac{13 13 + 11}{79} - \frac{143 + 11 11}{79}

十进制

0.49512 \dots

求解步骤

\frac{( 13 - 11 ) 13 + 11}{79}

乘开

(13 - 11) 13 + 11 : 13 13 + 11 - 143 + 1111

= \frac{13 13 + 11 - 143 + 11 11}{79}

使用分式法则:

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

\frac{13 13 + 11 - 143 + 11 11}{79} = \frac{13 13 + 11}{79} - \frac{143 + 11 11}{79}

= \frac{13 13 + 11}{79} - \frac{143 + 11 11}{79}

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