簡約-(7(3+5sqrt(2)))/(41)-2-3sqrt(2)

解

簡約

- \frac{7 ( 3 + 5 2 )}{41} - 2 - 32

\frac{- 103 - 158 2}{41}

十進法表記

- 7.96209 \dots

解答ステップ

- \frac{7 ( 3 + 5 2 )}{41} - 2 - 32

- 2

を分数に変換する

: \frac{- 82}{41}

= - \frac{7 ( 3 + 5 2 )}{41} + \frac{- 82}{41} - 32

- 32

を分数に変換する

: \frac{- 123 2}{41}

= - \frac{7 ( 3 + 5 2 )}{41} + \frac{- 82}{41} + \frac{- 123 2}{41}

- \frac{7 ( 3 + 5 2 )}{41} + \frac{- 82}{41} + \frac{- 123 2}{41} = \frac{- 7 ( 3 + 5 2 ) - 82 - 123 2}{41}

= \frac{- 7 ( 3 + 5 2 ) - 82 - 123 2}{41}

簡素化

- 7 (3 + 52) - 82 - 1232 : - 103 - 1582

= \frac{- 103 - 158 2}{41}