Evaluate
\frac{\sqrt{14}}{56}\approx 0.06681531
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\frac{1}{4\sqrt{14}}
Factor 224=4^{2}\times 14. Rewrite the square root of the product \sqrt{4^{2}\times 14} as the product of square roots \sqrt{4^{2}}\sqrt{14}. Take the square root of 4^{2}.
\frac{\sqrt{14}}{4\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{1}{4\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
\frac{\sqrt{14}}{4\times 14}
The square of \sqrt{14} is 14.
\frac{\sqrt{14}}{56}
Multiply 4 and 14 to get 56.
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