Long Division Method: Finding Square Root

How to do Long Division in 6 Steps Class 8 & Class 10?

Here we will provide you with the steps to use the long division method easily. Below we will find the root of 529:

-1st Step: Put a bar over the pair of digits starting from the one’s place. For odd digit numbers, the left-most single-digit too will have a bar.

-2nd Step: check for the greatest no. whose square is less than or equal to the number under the extreme left bar ( 2² < 5 < 3²). This will be the divisor. The quotient under the extreme left bar is the dividend (here 5). Divide to get the remainder.

-3rd Step: Take the number under the next bar to the right of the remainder to get the new dividend.

-4th Step: Double the quotient and enter it with a blank on its right.

-5th Step: Imagine the largest possible digit to fill the blank that will also become the new digit in the quotient, so that the product is less than or equal to the dividend.

-6th Step: If the remainder is 0 the process is over else continue the above steps.

Sample Questions on Square Root

Question 1. Find the square root of
(i) 729
(ii) 1296
(iii) 454
(iv) 5607

Question 2. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the perfect square

Question 3. Find the greatest 4-digit number which is a perfect square.

Question 4. Find the least number that must be subtracted from 5607 so as to get a perfect square. Also, find the square root of the perfect square.

Question 5. Find the square root of
(i) 12.25
(ii) 31.36
(iii) 51.84
(iv) 7.29

Question 6. There are 500 children in a school. For a P.T. drill, they have to stand in such a manner that the number of rows is equal to the number of columns. How many children would be left out in this arrangement?

Long Division Method NCERT Solutions PDF

Now that you know the method and also have a sufficient amount of questions to solve. In this section of the article, we have provided the NCERT solutions for the chapter square and square roots. These solutions are prepared by expert faculty and students can rely on these for preparation.

Summary

The division is one of the essential mathematical operations, along with addition, subtraction, and multiplication. The division is represented by the symbol ÷. Long division is defined as the process of dividing large numbers in a simple way. The long division method takes place through four steps namely, divide, multiply, subtract, and bringdown. The long division method helps students to calculate large numerical problems in simple steps.

FAQs on Square Root By Long Division Method

Q.1. How do I teach my child long division?
Ans. First, you need to understand the method yourself step by step. For this, you can check the step-by-step process explained on this page with images. This explanation is comprehensive and will surely aid you in teaching your child the method effectively. We advise you to start with a simple example and then move towards tough ones.

Q.2. What are the four steps of long division?
Ans. The four steps are:
1. Divide
2. Multiply
3. Subsrtact
4. Bringdown

Q.3. How do you use the long method?
Ans. The long division method is used in 6 steps that help you find the square root of the numbers that can not be expressed as a factor of their prime. Example: 547, 89.78, 23.

Q.4. How Do I Do Long Division?
Ans. You can check the detailed method on this page and follow the steps.

Q.5. What is the symbol for division?
Ans: The division can be represented by the symbol ÷.

After providing you with all the information on Long Division Method we have reached the end of our article. If you have further questions feel to use the comments section and we will update you on the same.

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Last Modified 9-02-2025