75 Square Root

75 Square Root

The square root of 75 is a number that, when multiplied by itself, equals 75. In other words, the square root of 75 is a number that, when squared, equals 75.

How to Find the Square Root of 75

There are several ways to find the square root of 75. One way is to use a calculator. Simply enter "75" into the calculator and press the square root button. The calculator will then display the square root of 75, which is approximately 8.66.

Another way to find the square root of 75 is to use a long division process. This process is more time-consuming than using a calculator, but it can be useful if you do not have access to a calculator.

Here is a step-by-step guide on how to find the square root of 75 using long division:

1. Write 75 as the dividend, with a decimal point and two zeros to the right of the 7.
2. Divide 25 into 750.0, and bring down the next two zeros.
3. Divide 625 into 7500, and bring down the next zero.
4. Divide 625 into 75000, and bring down the next zero.
5. The quotient is 8.66.
6. The square root of 75 is approximately 8.66.

Common Questions about 75 Square Root

• Is 75 a perfect square?

No, 75 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer. The square of an integer is a number that can be obtained by multiplying an integer by itself. For example, 16 is a perfect square because it can be expressed as the square of 4, which is 4 * 4 = 16.

• What is the decimal representation of 75 Square Root?

The decimal representation of 75 Square Root is approximately 8.66. This means that 8.66 * 8.66 = 75.

• What is the simplified form of 75 Square Root?

The simplified form of 75 Square Root is 5 * √3. This is because 75 can be factored as 25 * 3, and 25 can be factored as 5 * 5. Therefore, √75 can be written as 5 * √3.

• What are some real-world applications of 75 Square Root?

75 Square Root can be used in a variety of real-world applications, such as:

• Calculating the area of a square with a side length of 5
• Calculating the volume of a rectangular prism with a length of 5, a width of 5, and a height of 3
• Calculating the distance between two points that are 5 units apart on a coordinate plane

Conclusion

The square root of 75 is a number that, when multiplied by itself, equals 75. It is approximately equal to 8.66, and it can be expressed in simplified form as 5 * √3. 75 Square Root can be used in a variety of real-world applications.