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To find the relation between the numbers
[tex]\frac{2}{5},\sqrt[]{\frac{12}{75}}[/tex]Simplest form of the first number is,
[tex]\frac{2}{5}[/tex]Simplest form of the second number is,
[tex]\begin{gathered} \sqrt[]{\frac{12}{75}}=\sqrt[]{\frac{4\times3}{25\times3}} \\ =\sqrt[]{\frac{4}{25}} \\ =\frac{2}{5} \end{gathered}[/tex]Hence, the relation between the given two numbers is,
[tex]\frac{2}{5}=\sqrt[]{\frac{12}{75}}[/tex]