Understanding Square Roots
The square root of a number is a value that, when multiplied by itself, gives the original number. For instance, the square root of 25 is the number that, when squared (multiplied by itself), equals 25.
Calculating the Square Root of 25
- The square root of 25 is denoted as √25.
- To find this, we look for a number x such that x × x = 25.
Identifying the Square Root
- The number 5 fits this description because:
- 5 × 5 = 25
- Therefore, √25 = 5.
Positive and Negative Roots
- It's important to note that every positive number has two square roots:
- The positive square root (principal square root), which is 5.
- The negative square root, which is -5.
- Thus, both 5 and -5 are square roots of 25.
Practical Applications
- Square roots are commonly used in various fields, including mathematics, engineering, and physics.
- Understanding square roots can help in solving equations, analyzing geometric shapes, and more.
Conclusion
In summary, the square root of 25 is 5, with -5 also being a valid square root. This concept is fundamental in mathematics and has numerous applications in real-life scenarios.