Which among 2^1/2 , 3^1/3 , 4^1/4 , 6^1/6 and 12^ 112 is largest?

Answer: Option B

LCM in power 2, 3, 4, 6, 12 is 12
We multiplied the LCM to the power of the numbers.
$$2^{\frac{1\times 12}{2}},3^{\frac{1\times 12}{3}},4^{\frac{1\times 12}{4}},6^{\frac{1\times 12}{6}}\text{and}12^{\frac{1\times 12}{12}}$$
We get,
= 2⁶, 3⁴, 4³, 6², 12
= 64, 84, 64, 36, 12
Hence, greatest number would be $$3^{\frac{1}{3}}$$