Square root of 289
The correct answer and explanation is:
The square root of 289 is 17.
To understand this, the square root of a number is the value that, when multiplied by itself, gives the original number. In this case, 17 × 17 = 289. The process of finding the square root is the reverse of squaring a number. Squaring means multiplying a number by itself, while taking the square root involves determining the number that was originally squared.
To break it down:
- Start with 289.
- Find a number that, when multiplied by itself, equals 289.
- Try 16: 16 × 16 = 256, which is less than 289.
- Try 17: 17 × 17 = 289, which matches.
Thus, the square root of 289 is 17. The square root can be thought of as asking, “What number times itself equals 289?”
Square roots are fundamental in algebra and many areas of mathematics, such as solving quadratic equations or working with geometric properties. Understanding the square root helps simplify expressions, especially when dealing with areas, volumes, and distances. In higher mathematics, square roots are used in more complex operations, such as calculus or statistical analysis.
When calculating square roots of numbers that aren’t perfect squares (like 289), one may need a calculator or estimation methods, but since 289 is a perfect square, its square root is an integer.