Evaluate
\frac{3\sqrt{10}}{10}\approx 0.948683298
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\frac{\sqrt{9}}{\sqrt{10}}
Rewrite the square root of the division \sqrt{\frac{9}{10}} as the division of square roots \frac{\sqrt{9}}{\sqrt{10}}.
\frac{3}{\sqrt{10}}
Calculate the square root of 9 and get 3.
\frac{3\sqrt{10}}{\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{3}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
\frac{3\sqrt{10}}{10}
The square of \sqrt{10} is 10.
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