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

In this chapter, you’ll learn about Squares and Square Roots. What is the ‘square’ of a number? If a natural number ‘m’ can be expressed as ‘n2’, where ‘n’ is also a natural number, then m is a square number. A square root is just the inverse of a square. It is a number that produces another number when multiplied by itself.  It is important for you to get a clear understanding of squares and square roots because they have real-life applications in terms of computing the area of a plot, in statistics, engineering, physics and more. In this chapter, you’ll study how to find squares and square roots of a number using various methods such as factorisation method and division method, and learn the process of getting closer to the required number.

Let’s take a look at topics and sub-topics of Class 8 Maths Chapter 6, Squares and Square Roots

6.1 Introduction

6.2 Properties of Square Numbers

6.3 Some More Interesting Patterns

6.4 Finding the Square of a Number

6.5 Square Roots

6.6 Square Roots of Decimals

6.7 Estimating Square Root

In Class 8 Maths Chapter 6, you will learn –

Section 6.2 – In this section, you will learn some interesting properties of square numbers. Once you understand these properties, you’ll be able to find the square of a number at a faster speed.

Section 6.3 – In this section, you’ll study some more interesting patterns when we write down the squares of various numbers in a tabular form.  You’ll learn what happens when you add triangular numbers or numbers between square numbers. You’ll also study what a perfect square is; squares of consecutive natural numbers and product of two consecutive even or odd natural numbers and more.

Section 6.4 – It is easy to find the squares of a smaller number. However, as the number of digits increase, it gets relatively difficult to find the squares without long computations. In this section, you will get an idea of how to find squares of bigger numbers easily. You’ll also study about Pythagorean triplets and other patterns in squares.

Section 6.5 – Now it’s time to learn how to calculate the square root of a given number.  The square root is just the inverse process of squaring. In this section, you’ll study the positive square root of a natural number. You’ll also learn how to find square root through repeated subtraction, prime factorisation and division method.

Section 6.6 – In this section, you’ll go a step further and learn the techniques of finding the square root decimal numbers, which is quite similar to the process of finding the square root integers.

Section 6.7 – In this section, you will get an idea of finding square roots in real-life scenarios.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of Squares and Square Roots. To know more about Class 8 Maths Chapter 6 Squares and Square Roots, you should explore the exercises below. You can also download the Squares and Square Roots Class 8 NCERT Solutions PDF, solved by expert Maths trainers.