Evaluate
\frac{249825727\sqrt{1313}}{2626}\approx 3447266.041227744
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\frac{249825727}{2\sqrt{1313}}
Factor 5252=2^{2}\times 1313. Rewrite the square root of the product \sqrt{2^{2}\times 1313} as the product of square roots \sqrt{2^{2}}\sqrt{1313}. Take the square root of 2^{2}.
\frac{249825727\sqrt{1313}}{2\left(\sqrt{1313}\right)^{2}}
Rationalize the denominator of \frac{249825727}{2\sqrt{1313}} by multiplying numerator and denominator by \sqrt{1313}.
\frac{249825727\sqrt{1313}}{2\times 1313}
The square of \sqrt{1313} is 1313.
\frac{249825727\sqrt{1313}}{2626}
Multiply 2 and 1313 to get 2626.
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