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): You can put this solution on YOUR website!
.

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.

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SOLUTION: If I write &#8730;2 then within this root I put in another &#8730;2 and again and again,does it diverge as we are dealing with the square root of a Prime, so irrational or could

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