Square of Small-Digit Palindromic Number is Palindromic/Examples/11
Jump to navigation
Jump to search
Example of Square of Small-Digit Palindromic Number is Palindromic
- $11^2 = 121$
Proof
| \(\ds 11^2\) | \(=\) | \(\ds \left({10 + 1}\right)^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 10^2 + 2 \times 10 \times 1 + 1^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 100 + 20 + 1\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 121\) |
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $22$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $121$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $22$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $121$