Evaluate
\sqrt{2}-\frac{1}{7}\approx 1.27135642
Factor
\frac{7 \sqrt{2} - 1}{7} = 1.2713564195159521
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\frac{4\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}-\frac{1}{7}
Rationalize the denominator of \frac{4}{2\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{4\sqrt{2}}{2\times 2}-\frac{1}{7}
The square of \sqrt{2} is 2.
\sqrt{2}-\frac{1}{7}
Cancel out 2\times 2 in both numerator and denominator.
Examples
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Limits
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