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\sqrt{\frac{1\times 1}{4\times 9}}
Multiply \frac{1}{4} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.
\sqrt{\frac{1}{36}}
Do the multiplications in the fraction \frac{1\times 1}{4\times 9}.
\frac{1}{6}
Rewrite the square root of the division \frac{1}{36} as the division of square roots \frac{\sqrt{1}}{\sqrt{36}}. Take the square root of both numerator and denominator.