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RS Aggarwal Solutions Class 8 Chapter-3 Squares and Square Roots (Ex 3A) Exercise 3.1 - Free PDF

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Last updated date: 15th Jul 2024
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RS Aggarwal Solutions Class 8 Chapter-3 Squares and Square Roots (Ex 3A) Exercise 3.1 - Free PDF

Understanding Mathematics concepts are very important for every student as it helps in large areas in life. But, most of the students find it difficult, due to its vast syllabus, complex formulas, theorems, and lack of understanding of concepts. If the concepts are unclear, people always look out for reference books. RS Aggarwal is one of the renowned reference books for Mathematics. It covers all kinds of questions from basic fundamental level to advanced level. This gives clear knowledge to the students as it is completely solved, which they can refer to know about various ways to solve a question. 

Chapter 3- Square and Square Roots Overview

RS Aggarwal Solutions Chapter 3 of Class 8 Mathematics deals with Squares and Square Roots. The Square of a number is defined as the process of multiplying a number by itself. The square root of a number is defined as a value multiplied by itself that gives the original value.


In this chapter, students will study perfect squares, how to find perfect squares, largest 2-digit perfect square, largest 3-digit perfect square, finding square roots of a number using the prime factorization and division methods, Pythagorean triples, and creating perfect squares by addition and subtraction. 


This chapter consists of 115 questions overall and is divided into 8 exercises (3A,3B,3C,3D,3E,3F,3G,3H).


Exercise 3A consists of 6 questions, it is based on the concept of square and square roots and to find if the number is a perfect square or not. To learn these concepts easily with in-depth understanding, Vedantu provides RS Aggarwal Solution for Class 8 Chapter 3- Squares and Square Roots, (Ex- 3A) Exercise 3.1- PDF for free. You can download the solution for reference and practice.

FAQs on RS Aggarwal Solutions Class 8 Chapter-3 Squares and Square Roots (Ex 3A) Exercise 3.1 - Free PDF

1. What are the characteristics of Squares and Square Roots?

Some characteristics of square roots given in the chapter can help students to solve the exercises easily. The properties include the following:

  • Each perfect square ends with numbers 0,1,4,5,6 or 9. 

  • Squares of even numbers are even and squares of odd numbers are odd. For example, 122 = 144 and 132 = 169. 

  • The identity: (a + b)2 = (a2 + 2ab + b2) is useful for finding the square root of any number. 

  • Prime Factorization and Division Methods can be used to find the square root of a number. 

  • If the sum of two square numbers is another square number then these three numbers are called Pythagorean Triples, that is, w2 + x2 = y2 where ‘w’, ‘x’, ‘y’ are positive integers. For example:  62 + 82 = 102.

2. What are the benefits of using RS Aggarwal Solutions?

The following are the advantages of practicing Math from RS Aggarwal book,

  • It helps students to be aware of what kind of questions can be expected for the examination.

  • It consists of questions from the basic level to the advanced difficulty level. 

  • It uses simple language, which can be understandable to every student. 

  • It is completely available online for free, Students can access it whenever they have doubts. 

  • It can also be downloaded offline in PDF format for practice and reference. 

  • It gives a clear idea of how to solve a question using various methods.

3. What are the main topics given in RS Aggarwal Solution from Chapter 3 of Class 8?

The main topics given in RS Aggarwal Chapter 3 of Class 8 include finding square roots of a number using the prime factorization, Perfect squares, how to find perfect squares, largest 2-digit perfect square, and division methods, largest 3-digit perfect square, Pythagorean triples, and creating perfect squares by addition and subtraction are some of the important topics to study from RS Aggarwal Chapter 3 (Squares and Square Roots) of Class 8. All these topics from this chapter along with chapter 4 Cube and Cube roots consist of 22 marks in the examination as regulated by the CBSE Board.

4. How to score good marks in Mathematics?

Here are a few effective tips to get good marks in Class 8 Math:

  • Practice as many problems and various concepts as you can from NCERT and RS Aggarwal Solution book. Math is an important subject, which can be mastered only through regular practice.

  • Start by solving more examples. Don't directly start by solving complex problems. Always start from basics & clear your doubts from your teacher, and move to a higher scale of difficulty.

  • Instead of memorizing the formulas, try to solve problems related to the formulas as it can give a clear understanding of how the formulas are applied in problems.

  • Understand the derivation in a practical way rather than memorizing.

  • Solve more number of previous year questions to understand the Math pattern in a better way.

5. How to solve RS Aggarwal's solution effectively?

The following are some of the tips and tricks to study from the RS Aggarwal Math Solution book

  • First, you should try to learn and solve your grade 8 NCERT textbook completely.

  • Then go for the RS Aggarwal book and solve exercise questions and sample papers.

  • Take notes of all the important formulas and concepts given in the textbook.

  • Study and memorize the charts and graphs.

  • Understand each topic. When in doubt, ask your teacher or mentor and resolve it.