Discussion

Question:

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

Explanation:

Givne, 2^1/2, 3^1/3, 4^1/4 , 6^1/6  and 12^1/12

Raising all numbers to power 12, we get

(2^1/2)¹², (3^1/3)¹², (4^1/4)¹² , (6^1/6)¹²  and (12^1/12)¹²

(2⁶), (3⁴), (4³) , (6²)  and (12¹)

64, 81, 64, 36, 12

Since 81 is the higest number here, 3^1/3 will be the highest of the original numbers.

Hence, option (b).

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