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\(\sqrt {176 + \sqrt {2401} } \) is equal to: 

A  14 

B  15 

C  18 

D  24 

Solution

Correct Answer: Option B

Solution: 

\(\sqrt {176 + \sqrt {2401} }  = \sqrt {176 + \sqrt {{{(49\;)}^{2\;}}}  = \sqrt {176 + 49} }  = \sqrt {225}  = \sqrt {{{(15\;)}^{2\;}}} \) = 15. 

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