Find the value of $$\sqrt {30 + \sqrt {30 + \sqrt {30 + \sqrt {30\,........\,\infty } } } } .$$

A. 3

B. 4

C. 6

D. 5

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & x = \sqrt {30 + \sqrt {30 + \sqrt {30 + \sqrt {30\,........\,\infty } } } } \cr & 5 \times 6 = 30 \cr & {\text{Hence }}x = 6 \cr} $$