Evaluate
\frac{97\sqrt{102}}{408}\approx 2.401107792
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\frac{97}{4\sqrt{102}}
Factor 1632=4^{2}\times 102. Rewrite the square root of the product \sqrt{4^{2}\times 102} as the product of square roots \sqrt{4^{2}}\sqrt{102}. Take the square root of 4^{2}.
\frac{97\sqrt{102}}{4\left(\sqrt{102}\right)^{2}}
Rationalize the denominator of \frac{97}{4\sqrt{102}} by multiplying numerator and denominator by \sqrt{102}.
\frac{97\sqrt{102}}{4\times 102}
The square of \sqrt{102} is 102.
\frac{97\sqrt{102}}{408}
Multiply 4 and 102 to get 408.
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