\sqrt { \frac { 113,2 } { 23 } }
Evaluate
\frac{\sqrt{65090}}{115}\approx 2.218499297
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\sqrt{\frac{1132}{230}}
Expand \frac{113,2}{23} by multiplying both numerator and the denominator by 10.
\sqrt{\frac{566}{115}}
Reduce the fraction \frac{1132}{230} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{566}}{\sqrt{115}}
Rewrite the square root of the division \sqrt{\frac{566}{115}} as the division of square roots \frac{\sqrt{566}}{\sqrt{115}}.
\frac{\sqrt{566}\sqrt{115}}{\left(\sqrt{115}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{566}}{\sqrt{115}} by multiplying numerator and denominator by \sqrt{115}.
\frac{\sqrt{566}\sqrt{115}}{115}
The square of \sqrt{115} is 115.
\frac{\sqrt{65090}}{115}
To multiply \sqrt{566} and \sqrt{115}, multiply the numbers under the square root.
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