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\sqrt{\frac{36}{100}}
Expand \frac{3.6}{10} by multiplying both numerator and the denominator by 10.
\sqrt{\frac{9}{25}}
Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.
\frac{3}{5}
Rewrite the square root of the division \frac{9}{25} as the division of square roots \frac{\sqrt{9}}{\sqrt{25}}. Take the square root of both numerator and denominator.