Square of Small-Digit Palindromic Number is Palindromic/Examples/22
Jump to navigation
Jump to search
Example of Square of Small-Digit Palindromic Number is Palindromic
- $22^2 = 484$
Proof
| \(\ds 22^2\) | \(=\) | \(\ds \paren {20 + 2}^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \paren {2 \times 10}^2 + 2 \times \paren {2 \times 10} \times 2 + 2^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 400 + 80 + 4\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 484\) |
$\blacksquare$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $22$
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $484$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $22$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $484$