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2014-09-21T11:51:34+05:30

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Let us assume 
√2 > ∛3
⇒  2^{3/2}>3
 2√2>3
 2.828>3
so hence our assumption is wrong 
so √2 < ∛3
now we assume 
 \sqrt[3]{3}>\sqrt[4]{4}
 \sqrt[3]{3}>\sqrt[2]{2}
so we get the same relation
so the correct ans is 
∛3 is the greatest of them   ANSWER

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