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\(\sqrt {700 \times \sqrt {42 + \sqrt {42 + \sqrt {42 + ...\infty } } } } \) = ?
1. 70
2. 42
3. 55
4. 65

1 Answer

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Best answer
Correct Answer - Option 1 : 70

Given:

\(\sqrt {700 × \sqrt {42 + \sqrt {42 + \sqrt {42 + ...\infty } } } } \)

Concept used:

Simplification

Calculation:

From the right hand side a series of 42 with + sign continues

Breaking 42 in two consecutive terms

⇒ 6 × 7 = 42

There is + sign in between so the greater of the two numbers is the ans

∴ Ans : 7

Further solving it we get

⇒ \(\sqrt {700 \times 7} = \sqrt {4900} \)

∴ Ans : 70

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