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NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4

The focus of NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4 is on the long division method to find the square root of a number. Squares and Square roots is a chapter that teaches you how to square a number, how to find the square root of a number, and how to create some interesting patterns based on squares and square roots. Exercise 8.4 is based on finding the square root of a number using the long division method, finding square roots of decimal numbers, and estimating the square root of a number. 

AskIITians experts have created stepwise solutions for all the questions of Class 8 Maths Chapter 6 Squares and Square Roots Ex 6.4. We have included all the explanations in the solutions so that you can easily understand how to solve such questions in the exam. These solutions are based on the latest CBSE syllabus and exam pattern. You can download them for free from the askIITians website. 

About NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4

Before you start practising the NCERT exercise questions for Class 8 Maths Squares and Square Roots Ex 6.4 you must understand the following point: 

Steps to find out the square root of a number using long division method:

Step 1: Starting from the digits at the unit's place, place a bar over every pair of numbers. If the number of digits is odd, then the left-most single-digit will also have a bar, otherwise not. 

Step 2: Take the largest number as a divisor whose square is less than or equal to the number on the extreme left. Divide and write quotients.

Step 3: Bring down the number which is under the next bar to the right side of the remainder.

Step 4: Double the value of the quotient and enter it with a blank on the right side.

Step 5: Guess the largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new

quotient the product is less than or equal to the dividend.

Some properties of the square root of a number: 

  • The Square root of an even perfect square is even and that of an odd Perfect square is odd.
  • Since there is no number whose square is negative, the square root of a negative number is not defined.
  • If a number ends with an odd number of zeroes, then it cannot have a square root which is a natural number.
  • If the unit digit of a number is 2, 3, 7 or 8 then the square root of that number (in natural numbers) is not possible.
  • If m is not a perfect square, then there is no integer n such that the square root of m is n.

Download NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4

NCERT Class 8 Maths Squares and Square Roots Ex 6.4 includes 9 questions. You can easily download our NCERT Solutions at no cost and study at any time. Our NCERT Solutions are prepared as a self-study guide for you. Let us break down the exercise questions for you so that you can solve them in a better way:

Ex 6.4 Q1: In the first question, you have to find the square root of the given numbers using the long division method. There are 12 parts to this question. We have solved every sub-part in an elaborative way in our NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4 to help you understand the long division method easily. 

Ex 6.4 Q2: In this question, you have to estimate how many digits will be there in the square root of each number given. Learn how to correctly estimate the digits with our free NCERT Solutions for Squares and Square Roots. 

Ex 6.4 Q3: This question is about finding the square roots of the given decimal numbers. If you have any doubt about this concept, just download the NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4 by askIITians and start practising. 

Ex 6.4 Q4: In this question, you have to find the least number that should be subtracted from the given numbers so that they form a perfect square. Also, you have to find their square roots thereafter. 

Ex 6.4 Q5: In this question, you have to find the least number that should be added to the given numbers so that they form a perfect square. Also, you have to find their square roots thereafter. Check our step by step NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4 to know how to solve this question. 

Ex 6.4 Q6 to Q9: All these are word problems. You must read them carefully and understand what is being asked in the problem. We have provided clear explanations on how to solve these questions correctly in exams. 

NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4 FAQs

  1. How many exercises are there in Class 8 Maths NCERT Chapter 6 Squares and Square Roots? 

There are 4 exercises in the Square and Square Roots Chapter of the Class 8 Maths NCERT book. Exercise 6.1 includes 9 questions, Exercise 6.2 includes 2 questions, Exercise 6.3 includes 10 questions and Exercise 6.4 includes 9 questions. 

  1. What are the benefits of NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4? 

These NCERT Solutions help you prepare for your Maths exam thoroughly. You can understand how to find the square root of a number using the long division method and how to estimate the square root of a number easily using these solutions. 

  1. Who prepares the NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4? 

askIITians Maths experts have prepared the NCERT Solutions for Class 8 Maths Squares and Square Roots Ex 6.4. These solutions are based on the latest CBSE syllabus and exam pattern. 


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