Understanding The Square Root Of 120

Square Root of 120 How to Find the Square Root of 120? En from en.asriportal.com

Introduction

Mathematics is one of the most important subjects that everyone must learn. It is a subject that deals with numbers and their relationships. One of the important topics in mathematics is finding the square root of a number. In this article, we will discuss what the square root of 120 is, how to find it, and its significance.

What is the Square Root?

The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by 3 is 9. The square root of a number is represented by the symbol √.

Finding the Square Root of 120

To find the square root of 120, we can use different methods. One method is to use a calculator. We can simply type in 120 and press the square root button, which will give us the answer. The square root of 120 is approximately 10.95. Another method is to use long division. We start by grouping the digits of the number into pairs, starting from the right. We then find the largest integer whose square is less than or equal to the first pair of digits. This integer is the first digit of the square root. We subtract the square of this integer from the first pair of digits, and bring down the next pair of digits. We then double the first digit of the partial square root, and find the largest integer that can be multiplied by this number and still give a result less than or equal to the remaining digits. This process is repeated until we have found the required accuracy. Using this method, we can also find the square root of 120, which is approximately 10.95.

The Significance of the Square Root of 120

The square root of 120 is an important number in mathematics. It is an irrational number, which means that it cannot be expressed as a ratio of two integers. It is also a non-repeating decimal, which goes on infinitely without repeating. The square root of 120 is used in different fields such as engineering, physics, and architecture. It is also used in calculating the distance between two points in a coordinate plane.

Real-World Applications

The square root of 120 has several real-world applications. For example, it is used in the calculation of the hypotenuse of a right-angled triangle. It is also used in the calculation of the standard deviation in statistics. In physics, it is used in the calculation of the speed of light and the acceleration due to gravity. In architecture, it is used in the calculation of the diagonals of a rectangle and the height of an equilateral triangle.

Conclusion

In conclusion, the square root of 120 is an important number in mathematics. It is an irrational number that has several real-world applications. We can find the square root of 120 using different methods such as a calculator and long division. Understanding the square root is important for everyone, as it helps us solve mathematical problems and understand the world around us.