Evaluate
\frac{\sqrt{10}}{5}\approx 0.632455532
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\frac{\sqrt{6}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{6}}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.
\frac{\sqrt{6}\sqrt{15}}{15}
The square of \sqrt{15} is 15.
\frac{\sqrt{90}}{15}
To multiply \sqrt{6} and \sqrt{15}, multiply the numbers under the square root.
\frac{3\sqrt{10}}{15}
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{1}{5}\sqrt{10}
Divide 3\sqrt{10} by 15 to get \frac{1}{5}\sqrt{10}.
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