Evaluate
\frac{5\sqrt{202}}{101}\approx 0.703597545
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\frac{5\sqrt{2}\sqrt{101}}{\left(\sqrt{101}\right)^{2}}
Rationalize the denominator of \frac{5\sqrt{2}}{\sqrt{101}} by multiplying numerator and denominator by \sqrt{101}.
\frac{5\sqrt{2}\sqrt{101}}{101}
The square of \sqrt{101} is 101.
\frac{5\sqrt{202}}{101}
To multiply \sqrt{2} and \sqrt{101}, multiply the numbers under the square root.
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