簡約 (9.1-9)/(sqrt(9.1)-3)

解

簡約

\frac{9.1 - 9}{9.1 - 3}

\frac{0.1 \frac{91}{10} + 0.3}{0.1}

十進法表記

6.01662 \dots

解答ステップ

\frac{9.1 - 9}{9.1 - 3}

数を引く:

9.1 - 9 = 0.1

= \frac{0.1}{9.1 - 3}

共役で乗じる

\frac{9.1 + 3}{9.1 + 3}

= \frac{0.1 ( 9.1 + 3 )}{( 9.1 - 3 ) ( 9.1 + 3 )}

拡張

0.1 (9.1 + 3) : 0.1 \frac{91}{10} + 0.3

拡張

(9.1 - 3) (9.1 + 3) : 0.1

= \frac{0.1 \frac{91}{10} + 0.3}{0.1}