Evaluate
\frac{15\sqrt{11}}{22}\approx 2.261335084
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\frac{15}{2\sqrt{11}}
Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.
\frac{15\sqrt{11}}{2\left(\sqrt{11}\right)^{2}}
Rationalize the denominator of \frac{15}{2\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.
\frac{15\sqrt{11}}{2\times 11}
The square of \sqrt{11} is 11.
\frac{15\sqrt{11}}{22}
Multiply 2 and 11 to get 22.
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