化简 3/(5+sqrt(2))

解答

化简

\frac{3}{5 + 2}

\frac{15 - 3 2}{23}

十进制

0.46771 \dots

求解步骤

\frac{3}{5 + 2}

乘以共轭根式

\frac{5 - 2}{5 - 2}

= \frac{3 ( 5 - 2 )}{( 5 + 2 ) ( 5 - 2 )}

展开

3 (5 - 2) : 15 - 32

展开

(5 + 2) (5 - 2) : 23

= \frac{15 - 3 2}{23}

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