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Which among $2^{1/2},3^{1/3},4^{1/4},6^{1/6}\: and\: 12^{1/12}$ is the largest?

Option 1)
$5\tfrac{1}{2}$
Option 2)
$3^{1/3}$
Option 3)
$4^{1/4}$
Option 4)
$6^{1/6}$
Option 5)
$2^{1/2}$

Answers (1)

R rishi.raj

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

2⁶, 3⁴, 4³, 6² and 12

3⁴ is largest

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