簡約 (4.1-4)/(sqrt(4.1)-2)

解

簡約

\frac{4.1 - 4}{4.1 - 2}

\frac{0.1 \frac{41}{10} + 0.2}{0.1}

十進法表記

4.02484 \dots

解答ステップ

\frac{4.1 - 4}{4.1 - 2}

数を引く:

4.1 - 4 = 0.1

= \frac{0.1}{4.1 - 2}

共役で乗じる

\frac{4.1 + 2}{4.1 + 2}

= \frac{0.1 ( 4.1 + 2 )}{( 4.1 - 2 ) ( 4.1 + 2 )}

拡張

0.1 (4.1 + 2) : 0.1 \frac{41}{10} + 0.2

拡張

(4.1 - 2) (4.1 + 2) : 0.1

= \frac{0.1 \frac{41}{10} + 0.2}{0.1}