Evaluate
\frac{3\sqrt{209}}{5}\approx 8.674099377
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\sqrt{\frac{2025}{25}-\frac{144}{25}}
Convert 81 to fraction \frac{2025}{25}.
\sqrt{\frac{2025-144}{25}}
Since \frac{2025}{25} and \frac{144}{25} have the same denominator, subtract them by subtracting their numerators.
\sqrt{\frac{1881}{25}}
Subtract 144 from 2025 to get 1881.
\frac{\sqrt{1881}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{1881}{25}} as the division of square roots \frac{\sqrt{1881}}{\sqrt{25}}.
\frac{3\sqrt{209}}{\sqrt{25}}
Factor 1881=3^{2}\times 209. Rewrite the square root of the product \sqrt{3^{2}\times 209} as the product of square roots \sqrt{3^{2}}\sqrt{209}. Take the square root of 3^{2}.
\frac{3\sqrt{209}}{5}
Calculate the square root of 25 and get 5.
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