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