Evaluate
\frac{\sqrt{2}}{2}\approx 0.707106781
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\frac{10\sqrt{2}}{10\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{10}{10\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{10\sqrt{2}}{10\times 2}
The square of \sqrt{2} is 2.
\frac{\sqrt{2}}{2}
Cancel out 10 in both numerator and denominator.
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