Arranging the following in descending order, we get ∛ 4 , \sqrt2 , 3^{1/6} , 5^{1/4}

Correct Answer is : 43 > 514 > 2 > 316

∛ 4 > 5^{1/4} > \sqrt2 > 3^{1/6}

5^{1/4} > ∛ 4 > 3^{1/6} > \sqrt2

\sqrt2 > 3^{1/6} > ∛ 4 > 5^{1/4}

3^{1/6} > 5^{1/4} > ∛ 4 > \sqrt2 >

SSC CGL 19 Oct 2014 Shift 2 Paper

Question : 104 of 200

Marks: +1, -0

Arranging the following in descending order, we get

∛ 4 , √2 , 3^{1/6} , 5^{1/4}

Solution:

LCM of indices = LCM of 3, 6, 4 and 2 = 12
∴

∛ 4

(4)^{1/3}

(4)^{1/{12}}

4^3

√2

(2)^{1/2}

3^{1/6}

9^{1/{12}}

5^{1/4}

125^{1/{12}}

Clearly,

∛ 4

5^{1/4}

√2

3^{1/6}

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