Question
The greatest among the following numbers $(3)^{1/3}, (2)^{1/2}, 1, (6)^{1/6}$ is :
Answer: Option B
Answer: (b)LCM of 3, 2 and 6 = 6 ∴ $(3)^{1/3}$ = $(3^2)^{1/6}$ = $(9)^{1/6}$ $(2)^{1/2}$ = $(2^3)^{1/6}$ = $(8)^{1/6}$ $(1)^{1/6}$ = 1; $(6)^{1/6}$ = $(6)^{1/6}$
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Answer: (b)LCM of 3, 2 and 6 = 6 ∴ $(3)^{1/3}$ = $(3^2)^{1/6}$ = $(9)^{1/6}$ $(2)^{1/2}$ = $(2^3)^{1/6}$ = $(8)^{1/6}$ $(1)^{1/6}$ = 1; $(6)^{1/6}$ = $(6)^{1/6}$
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