簡約 sqrt((2/3)^2+(1/3)^2+(1/3)^2)

解

簡約

(\frac{2}{3})^{2} + (\frac{1}{3})^{2} + (\frac{1}{3})^{2}

\frac{2}{3}

十進法表記

0.81649 \dots

解答ステップ

(\frac{2}{3})^{2} + (\frac{1}{3})^{2} + (\frac{1}{3})^{2}

(\frac{2}{3})^{2} + (\frac{1}{3})^{2} + (\frac{1}{3})^{2} = \frac{4}{9} + 2 \cdot \frac{1}{9}

= \frac{4}{9} + 2 \cdot \frac{1}{9}

\frac{4}{9} + 2 \cdot \frac{1}{9} = \frac{2}{3}

= \frac{2}{3}