What is sqrt((1/3)^2+(2/3)^2+(1/3)^2) ?

The solution to sqrt((1/3)^2+(2/3)^2+(1/3)^2) is sqrt(2/3)

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simplify sqrt((1/3)^2+(2/3)^2+(1/3)^2)

simplify

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

\frac{2}{3}

Decimal Notation

0.81649 \dots

Solution steps

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

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

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

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

= \frac{2}{3}

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What is sqrt((1/3)^2+(2/3)^2+(1/3)^2) ?
The solution to sqrt((1/3)^2+(2/3)^2+(1/3)^2) is sqrt(2/3)