Square Roots 1-100
REFSquare Root Table
| n | √n | n | √n | n | √n | n | √n |
|---|
Perfect Squares (1-100)
| n² | n | √(n²) |
|---|---|---|
| 1 | 1² | 1 |
| 4 | 2² | 2 |
| 9 | 3² | 3 |
| 16 | 4² | 4 |
| 25 | 5² | 5 |
| 36 | 6² | 6 |
| 49 | 7² | 7 |
| 64 | 8² | 8 |
| 81 | 9² | 9 |
| 100 | 10² | 10 |
Square Root Rules
√(a × b) = √a × √b
Product rule: Square root of a product equals product of square roots
√(a / b) = √a / √b
Quotient rule: Square root of a quotient equals quotient of square roots
√(a²) = |a|
Square root of a perfect square equals the absolute value
(√a)² = a
Squaring a square root returns the original number
Understanding Square Roots
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √16 = 4 because 4 × 4 = 16. Perfect squares (1, 4, 9, 16, 25...) have whole number square roots. Other numbers have irrational square roots with infinite decimal places. Square roots are used in geometry, algebra, physics, and engineering calculations.