Question

The value of \( \sqrt{6 + \sqrt{6 + \sqrt{6 + \cdots}}} \) is:

• A. 3
• B. 2
• C. 6
• D. 1

Hint:

For $\sqrt{n(n+1) + \sqrt{\dots}}$, the answer is always $(n+1)$. Here $6 = 2 \times 3$, so answer is 3.

Answer 1

The Correct Option is A