Evaluate
\frac{1665\sqrt{22}}{44}\approx 177.489596366
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\frac{1665}{2\sqrt{22}}
Factor 88=2^{2}\times 22. Rewrite the square root of the product \sqrt{2^{2}\times 22} as the product of square roots \sqrt{2^{2}}\sqrt{22}. Take the square root of 2^{2}.
\frac{1665\sqrt{22}}{2\left(\sqrt{22}\right)^{2}}
Rationalize the denominator of \frac{1665}{2\sqrt{22}} by multiplying numerator and denominator by \sqrt{22}.
\frac{1665\sqrt{22}}{2\times 22}
The square of \sqrt{22} is 22.
\frac{1665\sqrt{22}}{44}
Multiply 2 and 22 to get 44.
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