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\frac{44}{\sqrt{2541}}
To multiply \sqrt{77} and \sqrt{33}, multiply the numbers under the square root.
\frac{44\sqrt{2541}}{\left(\sqrt{2541}\right)^{2}}
Rationalize the denominator of \frac{44}{\sqrt{2541}} by multiplying numerator and denominator by \sqrt{2541}.
\frac{44\sqrt{2541}}{2541}
The square of \sqrt{2541} is 2541.
\frac{44\times 11\sqrt{21}}{2541}
Factor 2541=11^{2}\times 21. Rewrite the square root of the product \sqrt{11^{2}\times 21} as the product of square roots \sqrt{11^{2}}\sqrt{21}. Take the square root of 11^{2}.
\frac{484\sqrt{21}}{2541}
Multiply 44 and 11 to get 484.
\frac{4}{21}\sqrt{21}
Divide 484\sqrt{21} by 2541 to get \frac{4}{21}\sqrt{21}.