Square of 22
22 squared equals 484. Squares appear in area calculations, the Pythagorean theorem, and statistics (variance uses squared distances).
Squares obey quiet rules. Divided by 9, a square only ever leaves 0, 1, 4 or 7 — 7 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 4 fits. Between its neighbors, 441 sits 43 below and 529 sits 45 above — the square ladder widens by exactly two at every step. Double the base and the square quadruples: 44² = 1936, which is 4 × 484. Two anchors most worth memorizing in this range are 12² = 144 and 15² = 225 — the odd-step rule above is why knowing them pays off, because from any anchor the next square is one step along this page's ladder.
| Expression | Value |
|---|---|
| 22² | 484 |
Frequently asked questions
What is 22 squared?
22 squared is 484, because 22 × 22 = 484. The exponent 2 is why it is written 22².
What is 23 squared, next to 22²?
23² = 529, which is 45 more than 22² = 484. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 22, distance in the Pythagorean theorem, and variance in statistics all use squared values.