Question

Q. 5. The value of the expression
$\sqrt{6 + \sqrt{6 + \sqrt{6 + .... + is \: upto \: \infty } } }$

a) 2
b) 3
c) 30
d) 5​

Answer 1

Step-by-step explanation:

Let sqrt6 = x

Then x = sqrt 6 + x

Squaring on both sides we get,

x^2 = 6 + x

x^2 - 6 - x = 0

this is in the form of quadratic equation.

6+sqrt4/2 and 6-sqrt4/2 are the roots

= 6+2/2, 6-2/2

Answer is 4, 2

Hope it helps:)

Answer 2

Answer:

3

Step-by-step: explanation

You can find explaination in the attached images