RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions 2023 | Download Free PDF

RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions: This exercise deals with the basic concepts related to a perfect square & the fundamental explanations of the properties of perfect squares. These solutions assist the students in practicing & learning each & every concept as they provide solutions to all questions asked in the textbook. These solutions are organized systematically & cover all solutions to the questions available in this exercise.

In RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions, the students find simplified & explained solutions to the difficult problems that make them learn & study much more conveniently. The top Mathematics faculty members have solved the exercise to assist the students with their exam preparation so as to secure good marks in Class 8^th Maths final exams. These solutions enable them to clear doubts quickly & also learn the topics more effectively. These solutions are perfect study material that assists the students in understanding this exercise in a better way.

Access RS Aggarwal Class 8 Maths Chapter 3 Solutions PDF

Download RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions

RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions

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, the largest 2-digit perfect square, the 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 an in-depth understanding

Important Definition for RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions

• Perfect square

A perfect square is a number that can be expressed as the number of two equal integers. The students will get a perfect square when they multiply two equal integers by each other.

For example 5 x 5=25

25 is a perfect square because they are multiplying two equal integers (5 & 5) by each other.

It can also be expressed as 5 x 5 as 5² which is known as the term perfect square.

• Properties of perfect squares

Here are some properties of perfect squares:

1. Property 1: Numbers ending in 2, 3, 7, or 8 is never a perfect square but all the numbers ending in 1, 4, 5, 6, 9, and 0 are not square numbers.

2. Property 2: A number ending in an odd number of zeros is never a perfect square.

3. Property 3: The square of an even number is always even.

4. Property 4: The square of an odd number is always odd.

5. Property 5: The square of a proper fraction is smaller than the fraction.

6. Property 6: For every natural number n, we have (n + 1)² – n² = (n + 1 + n)(n + 1 – n) = {(n + 1) + n}. Thus, {(n + 1)² – n²} = {(n + 1) + n}.

7. Property 7: For every natural number n, we have the sum of the first n odd numbers = n²

8. Property 8 (Pythagorean Triplets): Three natural numbers m, n, p is said to form a Pythagorean triplet (m, n, p) if (m² + n²) = p². For each natural number m > 1, we have (2m, m² – 1, m² + 1) as a Pythagorean triplet.  For instance: By placing m = 4 in (2m, m² – 1, m² + 1), the students will get (8, 15, 17) as a Pythagorean triplet.

Know more at the official website.

FAQs on RS Aggarwal Class 8 Maths Chapter 3 Ex 3.1 Solutions