The square roots of 225 are 15 and -15.
Understanding Square Roots
A square root of a number is a value that, when multiplied by itself, equals the original number. For example, since 15 15 = 225, 15 is a square root of 225. However, (-15) (-15) = 225 as well, so -15 is also a square root of 225.
Calculation and Explanation
- Positive Square Root: As the reference states, √225=15. This is because 15 multiplied by itself (15 * 15) equals 225.
- Negative Square Root: The negative square root of 225 is -15. This is because -15 multiplied by itself (-15 * -15) also equals 225.
Summary
| Number | Square | Result |
|---|---|---|
| 15 | 15 * 15 | 225 |
| -15 | -15 * -15 | 225 |
Therefore, both 15 and -15 are square roots of 225.
