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Question

Find the square root of the surd 9+214


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Solution

Find the square root of the given surd:

Given surd, 9+214

Taking square root we get

=9+214=9+272=7+272+2=72+272+22=7+22[a2+2ab+b2=a+b2]=±7+2[a2=±a]

Hence, the square root of 9+214 is ±7+2.


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