Infinite Roots

Algebra Level 3

What is 20+20+20+....? \large \sqrt{20+ \sqrt{20+ \sqrt{20 + ....}}} ? Write your answer as as a+ba+b, where ab\frac{a}{b} is equal to 20+20+20+....\sqrt{20+ \sqrt{20+ \sqrt{20 + ....}}}, and a and b are relatively prime

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