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\sqrt{\frac{2}{9}}
To multiply \sqrt{\frac{2}{3}} and \sqrt{\frac{1}{3}}, multiply the numbers under the square root.
\frac{\sqrt{2}}{\sqrt{9}}
Rewrite the square root of the division \sqrt{\frac{2}{9}} as the division of square roots \frac{\sqrt{2}}{\sqrt{9}}.
\frac{\sqrt{2}}{3}
Calculate the square root of 9 and get 3.