Evaluate
\frac{\sqrt{3374}}{14}\approx 4.149010209
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\sqrt{\frac{241}{14}}
Reduce the fraction \frac{723}{42} to lowest terms by extracting and canceling out 3.
\frac{\sqrt{241}}{\sqrt{14}}
Rewrite the square root of the division \sqrt{\frac{241}{14}} as the division of square roots \frac{\sqrt{241}}{\sqrt{14}}.
\frac{\sqrt{241}\sqrt{14}}{\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{241}}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
\frac{\sqrt{241}\sqrt{14}}{14}
The square of \sqrt{14} is 14.
\frac{\sqrt{3374}}{14}
To multiply \sqrt{241} and \sqrt{14}, multiply the numbers under the square root.
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