Evaluate
\frac{32525\sqrt{537}}{1074}\approx 701.778674318
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\frac{32525}{2\sqrt{537}}
Factor 2148=2^{2}\times 537. Rewrite the square root of the product \sqrt{2^{2}\times 537} as the product of square roots \sqrt{2^{2}}\sqrt{537}. Take the square root of 2^{2}.
\frac{32525\sqrt{537}}{2\left(\sqrt{537}\right)^{2}}
Rationalize the denominator of \frac{32525}{2\sqrt{537}} by multiplying numerator and denominator by \sqrt{537}.
\frac{32525\sqrt{537}}{2\times 537}
The square of \sqrt{537} is 537.
\frac{32525\sqrt{537}}{1074}
Multiply 2 and 537 to get 1074.
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