Which among the following is greatest \sqrt{5}, \sqrt^{3}{11}, \sqrt^{6}{123}, ?

BA LLB Banaras Hindu University 2019 Solved Paper

Question : 111 of 170

Marks: +1, -0

Which among the following is greatest

√{5}, √^{3}{11}, √^{6}{123}, ?

Solution:

(5)^{\;{1}/{2}},(11)^{\;{1}/{3}},(123)^{\;{1}/{6}}

(5^{3})^{\;{1}/{6}},(11^{2})^{\;{1}/{6}},(123)^{\;{1}/{6}}

=(125)^{\;{1}/{6}},(121)^{\;{1}/{6}},(123)^{\;{1}/{6}}

Hence,

=√{5}

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