Square Root of 26
The square root of 26 is a number that, when multiplied by itself, equals 26. In other words, it is the number that, when squared, equals 676.
The square root of 26 is an irrational number, which means that its decimal representation is non-terminating and non-repeating. This means that it cannot be expressed as a fraction of two integers.
The approximate value of the square root of 26 is 5.09901951. This can be found using a variety of methods, including long division, the calculator, or a computer program.
Questions about the Square Root of 26
- What is the square root of 26?
The square root of 26 is an irrational number, which means that its decimal representation is non-terminating and non-repeating. This means that it cannot be expressed as a fraction of two integers. The approximate value of the square root of 26 is 5.09901951.
- How do you find the square root of 26?
There are a variety of methods for finding the square root of 26. One common method is to use long division. To do this, divide 26 by a number that is close to the square root of 26. For example, you could divide 26 by 5. This will give you a quotient of 5.2 and a remainder of 1.1. Then, divide 1.1 by 5. This will give you a quotient of 0.22 and a remainder of 0.02. Continue dividing the remainder by 5 until the remainder is 0. At this point, the quotient will be the square root of 26.
Another common method for finding the square root of 26 is to use a calculator. To do this, simply enter 26 into the calculator and press the square root button. The calculator will then display the approximate value of the square root of 26.
- What are some applications of the square root of 26?
The square root of 26 can be used in a variety of applications, including:
- Calculating the area of a square with a side length of 5.2
- Solving equations of the form x2 = 676
- Calculating the distance between two points on a coordinate plane
For example, if you have a square garden with a side length of 5.2 feet, the area of the garden is 5.2 * 5.2 = 27.04 square feet. You can also use the square root of 26 to solve the equation x2 = 676. The solutions to this equation are x = ±5.1, which means that the length of the side of a square with an area of 676 is 5.1 feet.
The square root of 26 is a useful number that can be used in a variety of applications.
