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4+\sqrt{\frac{4}{25}}
Calculate the square root of 16 and get 4.
4+\frac{2}{5}
Rewrite the square root of the division \frac{4}{25} as the division of square roots \frac{\sqrt{4}}{\sqrt{25}}. Take the square root of both numerator and denominator.
\frac{20}{5}+\frac{2}{5}
Convert 4 to fraction \frac{20}{5}.
\frac{20+2}{5}
Since \frac{20}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
\frac{22}{5}
Add 20 and 2 to get 22.