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\sqrt[3]{\frac{24+3}{8}}+\sqrt{\frac{2\times 25+14}{25}}
Multiply 3 and 8 to get 24.
\sqrt[3]{\frac{27}{8}}+\sqrt{\frac{2\times 25+14}{25}}
Add 24 and 3 to get 27.
\frac{3}{2}+\sqrt{\frac{2\times 25+14}{25}}
Calculate \sqrt[3]{\frac{27}{8}} and get \frac{3}{2}.
\frac{3}{2}+\sqrt{\frac{50+14}{25}}
Multiply 2 and 25 to get 50.
\frac{3}{2}+\sqrt{\frac{64}{25}}
Add 50 and 14 to get 64.
\frac{3}{2}+\frac{8}{5}
Rewrite the square root of the division \frac{64}{25} as the division of square roots \frac{\sqrt{64}}{\sqrt{25}}. Take the square root of both numerator and denominator.
\frac{31}{10}
Add \frac{3}{2} and \frac{8}{5} to get \frac{31}{10}.