簡約 (8.99-9)/(sqrt(8.99)-3)

解

簡約

\frac{8.99 - 9}{8.99 - 3}

\frac{0.01 899 + 0.3}{0.1}

十進法表記

5.99833 \dots

解答ステップ

\frac{8.99 - 9}{8.99 - 3}

数を引く:

8.99 - 9 = - 0.01

= \frac{- 0.01}{8.99 - 3}

共役で乗じる

\frac{8.99 + 3}{8.99 + 3}

= \frac{- 0.01 ( 8.99 + 3 )}{( 8.99 - 3 ) ( 8.99 + 3 )}

拡張

- 0.01 (8.99 + 3) : \frac{- 0.01 899 - 0.3}{10}

拡張

(8.99 - 3) (8.99 + 3) : - 0.01

= \frac{\frac{- 0.01 899 - 0.3}{10}}{- 0.01}

\frac{\frac{- 0.01 899 - 0.3}{10}}{- 0.01} = \frac{0.01 899 + 0.3}{0.1}

= \frac{0.01 899 + 0.3}{0.1}