Fifth Root/Examples/2

Decimal Expansion

The decimal expansion of the $5$th root of $2$ starts:

$\sqrt [5] 2 \approx 1 \cdotp 14869 \, 83554 \, 99703 \, 50067 \, 986 \ldots$

This sequence is A005531 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Sources

  • 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 1$: Special Constants: $1.8$