An example of a root, specifically a mathematical root, is 7, which is the square root of 49.
Understanding Mathematical Roots
According to the provided reference, the root of a number in math is a number that, when multiplied by itself a certain number of times, produces the original number. The specific number of times it's multiplied determines the type of root (square root, cube root, etc.).
Here are examples drawn directly from the reference:
- Square Root: This is a number multiplied by itself twice to get the original number.
- Example: The square root of 49 is 7. This is because 7 multiplied by itself (7 × 7) equals 49.
- Cube Root: This is a number multiplied by itself three times to get the original number.
- Example: The cube root of 27 is 3. This is because 3 multiplied by itself three times (3 × 3 × 3) equals 27.
Examples from the Reference
The reference provides clear illustrations of this concept:
- Because 7 × 7 = 49, 7 is the square root of 49.
- Because 3 × 3 × 3 = 27, 3 is the cube root of 27.
These examples highlight how a root is essentially the base number used in repeated multiplication to reach the original value.
Summary of Examples
Here is a simple table summarizing the examples provided:
| Original Number | Type of Root | The Root | Calculation |
|---|---|---|---|
| 49 | Square Root | 7 | 7 × 7 = 49 |
| 27 | Cube Root | 3 | 3 × 3 × 3 = 27 |
These examples demonstrate the fundamental concept of finding a mathematical root: identifying a number that, when raised to a certain power, yields the target number.
