Evaluate
\frac{67\sqrt{15}}{2}\approx 129.744942098
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\frac{1005}{2\sqrt{15}}
Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.
\frac{1005\sqrt{15}}{2\left(\sqrt{15}\right)^{2}}
Rationalize the denominator of \frac{1005}{2\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.
\frac{1005\sqrt{15}}{2\times 15}
The square of \sqrt{15} is 15.
\frac{67\sqrt{15}}{2}
Cancel out 15 in both numerator and denominator.
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