The square root of {2+\sqrt{3}/{2} is

Correct Answer is : None of these

SSC CGL Tier II 12 Apr 2015 Paper

Question : 54 of 100

Marks: +1, -0

The square root of

{2+√{3}}/{2}

Solution:

(3)

{2+√{3}}/{2}= {2(2+√{3)}}/{4}

= {4+2 √{3}}/{4}= {3+1+2 √{3}}/{4}

= {(√{3})^{2}+(1)^{2}+2 ×√{3}× 1}/{4}

=\ ( {√{3}+1}/{2} )^{2}

∴√{ {2+√{3}}/{2}}=±{√{3}+1}/{2}

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