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\frac{4}{5}+\frac{\sqrt{1669}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{1669}{25}} as the division of square roots \frac{\sqrt{1669}}{\sqrt{25}}.
\frac{4}{5}+\frac{\sqrt{1669}}{5}
Calculate the square root of 25 and get 5.
\frac{4+\sqrt{1669}}{5}
Since \frac{4}{5} and \frac{\sqrt{1669}}{5} have the same denominator, add them by adding their numerators.