Question

What will come in the place of the question mark ‘?’ in the following question?

\(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)

1. 16
2. 17
3. 15
4. 12

Answer 1

Correct Answer - Option 1 : 16

Given:

\(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)

Concept used:

Simplification

Calculation:

⇒ \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)

⇒ \(\sqrt {248 + \sqrt {52 + 12} } = ?\)

⇒ \(\sqrt {248 + \sqrt {64} } = ?\)

⇒ \(\sqrt {248 + 8} = ?\)

⇒ \(\sqrt {256} = ?\)

∴ Ans : 16