Interview Question

Created by admin on Mon, 19/11/2012 - 16:23
Explanation: 
Let x = s(12+s(12+s(12+..... ) We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.
Question: 

If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.

Answer: 

4.