Infinite Nested Radical

Algebra Level 5

Find the value of

6+3+32+38+3128+\displaystyle \sqrt{6 + \sqrt{3 + \sqrt{\frac{3}{2} + \sqrt{\frac{3}{8} + \sqrt{\frac{3}{128} + \ldots }}}}}

Try harder one here

Details

  • Answer upto 3 decimal places
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