\frac { 3,1 } { \sqrt { 180 } }
Evaluate
\frac{31\sqrt{5}}{300}\approx 0.231060358
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\frac{3,1}{6\sqrt{5}}
Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.
\frac{3,1\sqrt{5}}{6\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{3,1}{6\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{3,1\sqrt{5}}{6\times 5}
The square of \sqrt{5} is 5.
\frac{3,1\sqrt{5}}{30}
Multiply 6 and 5 to get 30.
\frac{31}{300}\sqrt{5}
Divide 3,1\sqrt{5} by 30 to get \frac{31}{300}\sqrt{5}.
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