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\frac{220\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{220}{5\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{220\sqrt{2}}{5\times 2}
The square of \sqrt{2} is 2.
22\sqrt{2}
Cancel out 2\times 5 in both numerator and denominator.