Evaluate \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } \)
Solution
Correct Answer: Option A
Solution:
দেওয়া আছে, \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } \)
= \(\sqrt {248 + \sqrt {52 + \sqrt {{{(12)}^{2\;}}} } } \)
= \(\sqrt {248 + \sqrt {52 + \sqrt {12} } } \)
= \(\sqrt {248 + \sqrt {64} } \)
= \(\sqrt {248 + \sqrt {{{(8)}^2}} } \)
= \(\sqrt {248 + \sqrt 8 } \)
= \(\sqrt {256} \)
= \(\sqrt {{{(16)}^2}} \) = 16
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