Indian Institute of Foreign Trade 2016 Solved Paper

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Question : 17 of 123

Marks: +1, -0

The highest number amongst

√ 2, \;^3√3

and

^4 √4

is

$√ 2$
$\;^3√3$
$\;^{4} √4$
All are equal

Solution:

(b) Here,

2 ^ { { 1 } /{ 2 } } , 3 ^ { { 1 }/{ 3 } } , 4 ^ { { 1 }/ { 4 } }

= 2 ^ { { 1 }/ { 2 } × 12 } , 3 ^ { { 1 } /{ 3 } × 12 } , 4 ^ { { 1 }/ { 4 } × 12 }

= 2 ^ { 6 } , 3 ^ { 4 } , 4 ^ { 3 } = 64,81,64

Since 81 > 64, the largest value would be

\;^3√3

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