Evaluate
\frac{11313\sqrt{2}}{100}\approx 159.989980311
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\frac{113.13\times 2}{\sqrt{2}}
Divide 113.13 by \frac{\sqrt{2}}{2} by multiplying 113.13 by the reciprocal of \frac{\sqrt{2}}{2}.
\frac{226.26}{\sqrt{2}}
Multiply 113.13 and 2 to get 226.26.
\frac{226.26\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{226.26}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{226.26\sqrt{2}}{2}
The square of \sqrt{2} is 2.
113.13\sqrt{2}
Divide 226.26\sqrt{2} by 2 to get 113.13\sqrt{2}.
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