Question

Evaluate:

\(\sqrt {248 + \;\sqrt {51 + \;\sqrt {169} } } \)

1. 12
2. 14
3. 16
4. 18

Answer 1

Correct Answer - Option 3 : 16

GIVEN:

\(√ {248 + \;√ {51 + \;√ {169} } } \)

CALCULATION:

\(√ {248 + \;√ {51 + \;√ {169} } } \)

\(⇒ √ {248 + \;√ {51 + 13} } \)

\(⇒ √ {248 + \;√ {64} } \)

\(⇒ √ {248 + 8} \)

⇒ √256

⇒ 16

∴ \(\sqrt {248 + \;\sqrt {51 + \;\sqrt {169} } } \) = 16