Evaluate
\frac{\sqrt{2185}}{19}\approx 2.460209662
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\sqrt{\frac{456+4}{76}}
Multiply 6 and 76 to get 456.
\sqrt{\frac{460}{76}}
Add 456 and 4 to get 460.
\sqrt{\frac{115}{19}}
Reduce the fraction \frac{460}{76} to lowest terms by extracting and canceling out 4.
\frac{\sqrt{115}}{\sqrt{19}}
Rewrite the square root of the division \sqrt{\frac{115}{19}} as the division of square roots \frac{\sqrt{115}}{\sqrt{19}}.
\frac{\sqrt{115}\sqrt{19}}{\left(\sqrt{19}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{115}}{\sqrt{19}} by multiplying numerator and denominator by \sqrt{19}.
\frac{\sqrt{115}\sqrt{19}}{19}
The square of \sqrt{19} is 19.
\frac{\sqrt{2185}}{19}
To multiply \sqrt{115} and \sqrt{19}, multiply the numbers under the square root.
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Limits
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