Correct Answer - Option 1 : 3

**Given:**

\(\sqrt {6 + \sqrt {6 + \sqrt {6 + \sqrt {6 + ...\infty } } } } \)

**Concept used:**

Simplification

**Calculation:**

Here we have 6 inside

So take two numbers which are factors of 6

Let the two numbers be 2 and 3

Break them in the consecutive order.

⇒ 2 × 3 = 6

In the case of addition the larger number will be the answer.

∴ Ans : 3