Evaluate
\sqrt{2}\approx 1.414213562
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\frac{4}{2\sqrt{2}}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
\frac{4\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{4}{2\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{4\sqrt{2}}{2\times 2}
The square of \sqrt{2} is 2.
\sqrt{2}
Cancel out 2\times 2 in both numerator and denominator.
Examples
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Limits
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