Aptitude Question ID : 92817

The greatest among the following numbers
(3)^{\frac{1}{3}}, (2)^{\frac{1}{2}}, 1, (6)^{\frac{1}{6}}
[A] 1
[B](2)^{\frac{1}{2}}
[C](3)^{\frac{1}{3}}
[D](6)^{\frac{1}{6}}

\mathbf{(3)^{\frac{1}{3}}}
LCM of 3, 2 and 6 = 6
\therefore (3)^{\frac{1}{3}} = (3^{2})^{\frac{1}{6}} = (9)^{\frac{1}{6}}
(2)^{\frac{1}{2}} = (2^{3})^{\frac{1}{6}} = (8)^{\frac{1}{6}}
(1)^\frac{1}{6} = 1
(6)^\frac{1}{6} = (6)^\frac{1}{6}
Hence option [C] is the right answer.

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