Square Root/Examples/17

Decimal Expansion

The decimal expansion of $\sqrt {17}$ starts:

$\sqrt 17 \approx 4 \cdotp 12310 \, 56256 \, 17660 \, 5498 \ldots$

This sequence is A010473 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Historical Note

The square root of $17$ was the highest number to be proved irrational by Theodorus of Cyrene.

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): Table $1.1$. Mathematical Constants
• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $4 \cdotp 123 \, 105 \ldots$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4 \cdotp 12310 \, 5 \ldots$