Which of The Following in the Largest Number?

Answer: (3) 2^1/2.

Explanation:-
3^1/3, 5^1/5, 2^1/2, 7^1/7
Taken the LCM of 3, 5, 2, 7
Then, the LCM of 2, 3, 5, 7 = 2 x 3 x 5 x 7
= 210
Then, 3^{1 x 70/3 x 70}, 5^{1 x 42/5 x 42}, 2^{1 x 105 /2 x 105}, 7^{1 x 30/7 x 30}
= 3^70/210, 5^42/210, 2^105/210, 7^30/210

Then, the largest number is 2^1/2.

Hence, the answer is (3) 2^1/2.