Square of 8
8 squared equals 64. 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 — 1 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 4 fits. Between its neighbors, 49 sits 15 below and 81 sits 17 above — the square ladder widens by exactly two at every step. Double the base and the square quadruples: 16² = 256, which is 4 × 64. 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 |
|---|---|
| 8² | 64 |
Frequently asked questions
What is 8 squared?
8 squared is 64, because 8 × 8 = 64. The exponent 2 is why it is written 8².
What is 9 squared, next to 8²?
9² = 81, which is 17 more than 8² = 64. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 8, distance in the Pythagorean theorem, and variance in statistics all use squared values.