Question

Please solve this........√12+√12+√12+...... = x . Find the value of x

Answer 1

Squaring the given we get 
12+sqrt(12+sqrt(12+sqrt(12...))) = x^2 
12 + x = x^2 [BECAUSE sqrt(12+sqrt(12+sqrt(12...))) = x as given in your question ] 
then solving the above quadratic 
x^2 - x -12 = 0 
x^2 - 4x + 3x - 12 = 0 
x(x-4) + 3(x-4) = 0 
(x-4)(x+3) = 0 
x = 4 or x = -3 
But the value of the given expression is positive, so ignoring x = - 3 
ANS IS x = 4

Answer 2

x=4

Step-by-step explanation:

after square on both sides