# 200 Followers problem

Algebra Level 3

Which of these numbers have a larger value?

1)

$\sqrt{200 -17 \sqrt{ 200 -17 \sqrt {200 -17 \sqrt{ 200 -17 \ldots}}}}$

2)

$\sqrt{200 \sqrt{ 200 \sqrt {200 \sqrt{ 200 \ldots}}}}$

Let $$a$$ be the value of the first nested radical, and $$b$$ be the values of the second nested radical.

If $$a$$ is greater provide the answer as, $$(a+b)^{2}$$, if $$b$$ is greater provide the answer as $$(a-b)^{2}$$.

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