Evaluate
\frac{115\sqrt{22}}{66}\approx 8.172694127
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\frac{115}{3\sqrt{22}}
Factor 198=3^{2}\times 22. Rewrite the square root of the product \sqrt{3^{2}\times 22} as the product of square roots \sqrt{3^{2}}\sqrt{22}. Take the square root of 3^{2}.
\frac{115\sqrt{22}}{3\left(\sqrt{22}\right)^{2}}
Rationalize the denominator of \frac{115}{3\sqrt{22}} by multiplying numerator and denominator by \sqrt{22}.
\frac{115\sqrt{22}}{3\times 22}
The square of \sqrt{22} is 22.
\frac{115\sqrt{22}}{66}
Multiply 3 and 22 to get 66.
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