Square Root

What is square root? This is a question that many students ask when they are first learning about mathematics. The square root of a number is the number that you would have to multiply by itself to get the original number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9. In this blog post, we will discuss how to find the square root of numbers between 1 and 30, as well as how to use square roots in mathematical equations.

What is square root?

The square root is a mathematical operation that finds the square root of a number. The square root of a number is the number that when multiplied by itself will result in the original number. For example, the square root of 25 is equal to five because five multiplied by itself equals 25.

Square Root Definition:

The Square Root Definition says that a square root is the length of a side of a square that has an area equal to the given number. In mathematical terms, it is written as follows: Square Root (x) = y where x is the value for which you are finding the square root and y is the answer.

The symbol used for square root is √.

Different Methods to Find Square Root

To find an answer to “how to find square root”, you must go through the sections below very carefully. We will be looking into:

-how to find square root using the repeated subtraction method

-how to find square root using the long division method

– how to find square root using the prime factorization method.

– how to find square root using a squaring technique

Find square root using the repeated subtraction method:

To find the square root of a number, you will need to use the repeated subtraction method. This involves taking smaller and smaller numbers until you reach the square root of the original number. Let’s try it with an example:

Find the square root of 64.

We can start by trying to find the square root of 64 using smaller numbers. For example, how does the square root of 40 compare to 40? If we take 16 away from 40, how many times can we do that and still be left with a number bigger than 0?

The answer is twice. That means that the square root of 40 is between 16 and 20. Now let’s try finding the square root of 64 with smaller numbers. How many times can we take 20 away from 40 and still be left with a number bigger than 0? The answer is three, which means that the square root of 64 is between 18 and 19.

Find Square Root of any number by Long Division (Prime Factorization Method) 

For example: Find the square root of 21701.

First, we need to Prime Factorize the number 21701.

We get, 21701 = 23 x 73

Now we need to find the square root of 23 x 73.

Begin by finding how many times 73 goes into 23.

We get: 4723 = 31 x 74 + 42

Which means we have found the first digit of our square root. It is a ’31’. Now how do I place it in my answer?

Answer: I place it in the correct digit position. Since 73 x 31 = 23, I need to put a ’31’ as the first two digits of my square root.

The second step is how do we find the next digit? We continue long division.

42/ (73 x 31) = 74 + (0 remainder) = 74 + (0 x 31) = 74

The next digit of our square root is a ’74’. How do I place it in my answer? Answer: I place it in the correct digit position. Since 74 x 31 = 23 and 73 x 312 = 23, I need to put a ’74’ at the end of my square root.

The third step is how do I find the next digit? We continue long division.

I have found the next digit of my square root is a ‘0’. How do I place it in my answer? Answer: I place it in the correct digit position. Since 0 x 31 = 0 and 73 x 310 = 0, I need to put a ‘0’ at the end of my square root.

The final answer is 31 74 0

The square root of 21701 is 31.740000

List of square roots 1 to 30:

To ace your exam, you all must remember square root 1 to 30 by heart. Memorize it.

Conclusion

In this article, you learned what the square root is and how to use it. It can be a difficult concept for some students to grasp at first, but with practice and understanding of its applications in math problems, they will have no problem using it! Students trying to understand this topic should watch our video on “What is Square Root” or visit www.mathisfun.com/square-root/. We hope that these resources help!