Evaluate
\frac{\sqrt{102}}{204}\approx 0.049507377
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\frac{1}{2\sqrt{102}}
Factor 408=2^{2}\times 102. Rewrite the square root of the product \sqrt{2^{2}\times 102} as the product of square roots \sqrt{2^{2}}\sqrt{102}. Take the square root of 2^{2}.
\frac{\sqrt{102}}{2\left(\sqrt{102}\right)^{2}}
Rationalize the denominator of \frac{1}{2\sqrt{102}} by multiplying numerator and denominator by \sqrt{102}.
\frac{\sqrt{102}}{2\times 102}
The square of \sqrt{102} is 102.
\frac{\sqrt{102}}{204}
Multiply 2 and 102 to get 204.
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