What is the square root of\(128 + \sqrt {262 - \sqrt {36} }\)

A 16

B 18

C 24

D 12

E 14

Solution

Correct Answer: Option D

Given expression

\(128 + \sqrt {262 - \sqrt {36} }\)

\(\begin{array}{l} = 128 + \sqrt {262 - 6} \\ = 128 + \sqrt {256} \end{array}\)

= 128 + 16

= 144

Now square root of the given expression\(= \sqrt {144}\)

= 12

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