Evaluate
\frac{\sqrt{190}}{5}\approx 2.75680975
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\frac{\sqrt{38}}{\sqrt{5}}
Rewrite the square root of the division \sqrt{\frac{38}{5}} as the division of square roots \frac{\sqrt{38}}{\sqrt{5}}.
\frac{\sqrt{38}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{38}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{38}\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{\sqrt{190}}{5}
To multiply \sqrt{38} and \sqrt{5}, multiply the numbers under the square root.
Examples
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