Evaluate
\frac{\sqrt{238}}{51}\approx 0.302495071
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\frac{\sqrt{14}}{\sqrt{153}}
Rewrite the square root of the division \sqrt{\frac{14}{153}} as the division of square roots \frac{\sqrt{14}}{\sqrt{153}}.
\frac{\sqrt{14}}{3\sqrt{17}}
Factor 153=3^{2}\times 17. Rewrite the square root of the product \sqrt{3^{2}\times 17} as the product of square roots \sqrt{3^{2}}\sqrt{17}. Take the square root of 3^{2}.
\frac{\sqrt{14}\sqrt{17}}{3\left(\sqrt{17}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{14}}{3\sqrt{17}} by multiplying numerator and denominator by \sqrt{17}.
\frac{\sqrt{14}\sqrt{17}}{3\times 17}
The square of \sqrt{17} is 17.
\frac{\sqrt{238}}{3\times 17}
To multiply \sqrt{14} and \sqrt{17}, multiply the numbers under the square root.
\frac{\sqrt{238}}{51}
Multiply 3 and 17 to get 51.
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