What is the square root of 64?
The square root of 64 is a number that, when multiplied by itself, gives the result 64. In mathematics, the square root is one of the basic operations, and it is denoted by the symbol √. In this case, we are looking for a number that satisfies the equation x² = 64.
What is a square root?
The square root is a mathematical operation that returns a number that, when multiplied by itself, produces the original number. For example, the square root of 9 is 3 because 3 * 3 = 9. The square root is denoted by the symbol √ and can be calculated in a number of ways, such as by hand, with a calculator, or with computer programs.
Calculating the square root of 64
Calculating the square root of 64 is quite simple because 64 is a perfect square. A perfect square means that it is the square of some whole number. In this case, we can look for a number that, when multiplied by itself, gives 64.
- 64 = 8 * 8
- 8² = 64
So the square root of 64 is 8. This can be written mathematically as:
√64 = 8
Properties of the square root
The square root has several interesting properties that make it useful in many mathematical and practical applications. Here are some key features:
- The square root is always a positive number because the square of a negative number is always positive.
- The square root is the inverse of squaring.
- The square root can also be calculated for fractions and decimals.
Applications and examples
The square root is widely used in various disciplines and practical applications. For example:
- In geometry, the square root is used to calculate the length of the side of a square when its area is known.
- In physics, the square root is used in many formulas, such as calculating speed and acceleration.
- In statistics, the square root is used to calculate variance and standard deviation.
Sources
More information about square roots and their calculation can be found in the following sources:
