SOLUTION: If I write √2 then within this root I put in another √2 and again and again,does it diverge as we are dealing with the square root of a Prime, so irrational or
could
Question 1009869: If I write √2 then within this root I put in another √2 and again and again,does it diverge as we are dealing with the square root of a Prime, so irrational or
could I solve it simply by writing y = √2 + y and simply solve a quadratic to get y = - 1 or y = 2?? Answer by ikleyn(52855) (Show Source):
Are you talking about
?
If "Yes", then introduce x = .
Square both sides, and you will get an equation
= , or
= .
Factorize left side
(x+1)*(x-2) = 0.
The appropriate root is x = 2.
So, = 2.
Answer. = 2.
