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\sqrt{\frac{1}{16}}
To multiply \sqrt{\frac{1}{3}} and \sqrt{\frac{3}{16}}, multiply the numbers under the square root.
\frac{1}{4}
Rewrite the square root of the division \frac{1}{16} as the division of square roots \frac{\sqrt{1}}{\sqrt{16}}. Take the square root of both numerator and denominator.