200 Followers problem

Algebra Level 3

Which of these numbers have a larger value?

1)

20017200172001720017 \sqrt{200 -17 \sqrt{ 200 -17 \sqrt {200 -17 \sqrt{ 200 -17 \ldots}}}}

2)

200200200200 \sqrt{200 \sqrt{ 200 \sqrt {200 \sqrt{ 200 \ldots}}}}

Let aa be the value of the first nested radical, and bb be the values of the second nested radical.

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

×

Problem Loading...

Note Loading...

Set Loading...