Evaluate
\frac{3\sqrt{10}}{13}\approx 0.729756383
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\sqrt{\frac{18\times 5}{13\times 13}}
Multiply \frac{18}{13} times \frac{5}{13} by multiplying numerator times numerator and denominator times denominator.
\sqrt{\frac{90}{169}}
Do the multiplications in the fraction \frac{18\times 5}{13\times 13}.
\frac{\sqrt{90}}{\sqrt{169}}
Rewrite the square root of the division \sqrt{\frac{90}{169}} as the division of square roots \frac{\sqrt{90}}{\sqrt{169}}.
\frac{3\sqrt{10}}{\sqrt{169}}
Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.
\frac{3\sqrt{10}}{13}
Calculate the square root of 169 and get 13.
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