Nested Radical Strikes Again!

Algebra Level 5

Find the value of

\[\displaystyle \sqrt{ 7 - \sqrt{\frac{7}{2} + \sqrt{\frac{7}{4} - \sqrt{\frac{7}{16} + \sqrt{\frac{7}{256} - \ldots}}}}}\]

Try easier one here

Details

  • Answer upto 3 decimal places
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