簡約 (sqrt(4 2/5))/(sqrt(2/3))

解

簡約

\frac{4 \frac{2}{5}}{\frac{2}{3}}

\frac{33}{5}

十進法表記

2.56904 \dots

解答ステップ

\frac{4 \frac{2}{5}}{\frac{2}{3}}

帯分数を仮分数に変換する:

4 \frac{2}{5} = \frac{22}{5}

= \frac{\frac{22}{5}}{\frac{2}{3}}

累乗根の規則を適用する:

\frac{a}{b} = \frac{a}{b}

\frac{\frac{22}{5}}{\frac{2}{3}} = \frac{\frac{22}{5}}{\frac{2}{3}}

= \frac{\frac{22}{5}}{\frac{2}{3}}

\frac{\frac{22}{5}}{\frac{2}{3}} = \frac{33}{5}

= \frac{33}{5}