Which of the following relation is/are true?
$$\eqalign{
& {\text{I}}.{\left( {27} \right)^{\frac{1}{3}}} > {\left( {13} \right)^{\frac{1}{2}}} < {\left( {47} \right)^{\frac{1}{6}}} \cr
& {\text{II}}.{\left( {23} \right)^{\frac{1}{3}}} < {\left( {49} \right)^{\frac{1}{2}}} < {\left( {52} \right)^{\frac{1}{6}}} \cr
& {\text{III}}.{\left( {53} \right)^{\frac{1}{6}}} < {\left( {41} \right)^{\frac{1}{3}}} < {\left( {37} \right)^{\frac{1}{2}}} \cr} $$
A. Only III
B. Both I and II
C. II and III only
D. All relations are false
Answer: Option A
This Question Belongs to Arithmetic Ability >> Surds And Indices
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