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NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots 

NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots are important for you. These solutions are based on the latest CBSE syllabus and exam pattern for Class 8. They are created by the esteemed Maths faculty of askIITians to help you understand the topics of this chapter thoroughly. You can download the solutions for free from our website and refer to them at any time at your convenience. 

NCERT Class 8 Maths Chapter 6 Squares and Square Roots is based on finding the square of a number, finding the square root of a number and creating some interesting patterns based on squares and square roots. There are 4 exercises in this chapter with almost 30 questions in total. Our online NCERT Solutions include all the answers to these questions. 

About NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots

NCERT Class 8 Maths Chapter 6 Squares and Square Roots is based on the following topics:

  • Introduction to square of a number 
  • Properties of squares numbers
  • Creating interesting patterns 
  • Finding the square of a number 
  • Introduction to square roots 
  • Finding the square roots of a number 
  • Finding the square root of a number using repeated subtraction
  • Finding square root through prime factorisation
  • Finding square root by division method
  • Square Roots of Decimals
  • Estimating Square Root

Here are some important points about the chapter that will help you find the NCERT Solutions easily:

  • If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number. For example, 9 = 32, so 9 is a square number. 
  • Any number ending in 0 will have a square ending in 0.
  • Any number ending in 2 or 8 will have a square ending in 4.
  • Any number ending in 1 or 9 will have its square ending in 1.
  • Any number ending in 4 or 6 will have its square ending in 6.
  • Any number ending in 3 or 7 will have its square ending in 9.
  • Any number ending in 5 will have its square ending in 5.
  • Squares of even numbers are even and squares of odd numbers are odd.
  • A perfect square has an even number of zeros at the end.
  • We can say that if a number has n zeros at the end, its square will have 2n zeroes at the end.
  • This means that the Sum of the first n odd natural numbers is n².

What are Pythagorean triplets? 

For any natural number m>1, we have (2m)2 + (m2 –1)2 = (m2 +1)2. So, 2m, m2 – 1 and m2 + 1 forms a Pythagorean triplet.

Example: For m = 3,  

(2m)2 + (m2 –1)2 = (2X3)2 + (32 –1)2 = (6)2 + (8)2 = 36+64 = 100

(m2 +1)2 = (32 +1)2 = (10)2 = 100

So, 2X3, 32 – 1 and 32 + 1, ie, 6, 8, and 10 are pythagorean triplets. 

Download NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots

Learning how to find squares and square roots is important for students as many concepts in Maths are based on square roots. For example, algebraic identities involve calculating squares, advanced concepts like calculus also involve taking squares and square roots. So, solving the NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots will help you prepare a solid foundation for advanced level concepts. To find help in clarifying your doubts regarding the chapter exercises, download our NCERT Solutions for free:

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.1 - 9 Questions 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.2 - 2 Questions 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.3 - 10 Questions 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.4 - 9 Questions 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.1

The first exercise of the chapter is based on finding the unit digit of the squares of the given numbers, identifying whether a number is a perfect square, finding the missing digits in the given patterns, and more. This exercise builds a strong concept base for square numbers and is a must if you want to score higher marks in this chapter. 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.2

The second exercise of the chapter is based on finding the square of a number and Pythagorean triplets. This exercise is quite simple however, students get confused while finding the square of a number. So, we have provided step by step explanations for this exercise in our NCERT Solutions Class 8 Maths Chapter 6 Ex 6.2. 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.3

The third exercise of this chapter is based on finding the square root of a number, finding the square root of a number using repeated subtraction, and finding square root through prime factorisation. It is a tough exercise since you have to learn how to apply different methods for finding the square root of a number. 

NCERT Solutions Class 8 Maths Chapter 6 Ex 6.4

The last exercise of this chapter is based on finding the square root of a number by division method, finding square roots of decimals, and estimating square roots. We have given easy to understand explanations about this exercise in our free NCERT Solutions. 

Our NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots can help you master all four exercises of the chapter. Download them right now and start practising. 

NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots FAQs

  1. Why are the NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots important for students? 

The NCERT solutions by askIITians are an important study material for students. These solutions are based on the latest exam pattern and the CBSE syllabus. They help you identify your mistakes and solidify your NCERT concepts in-depth. 

  1. How to utilise the NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots? 

At first, you must read the NCERT chapter carefully and take note of important points of the chapter. Then, solve some examples given in the chapter and learn how to approach a particular problem. Once the concepts are clear to you, start practising NCERT Solutions for better clarity. 

  1. Are NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots free for download?

Yes, our NCERT Solutions are available for free to every student. Just download our solutions and start learning at your own pace.


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