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

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

Mathematics is the combination of calculation, formulas & concepts. And the calculation is the backbone of mathematics. This chapter is based on the calculation with some concepts. In this topic we are going to study about squares of numbers and square roots of numbers. This chapter contains 4 exercises with 30 questions. The NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots are solved by subject experts so that students use these squaring techniques to tackle all the mathematical problems in minimal time.

NCERT Class 8 Maths Chapter 6 Squares & Square-roots are here to build up your calculation skills. Square is a  shape in geometry comes with 2- dimensions which have all sides equal but here we will not discuss that Square. In this particular chapter, we are going to learn what is squares and square roots and how Squares & Square-roots are calculated for a given number.

• Square

Square means a number will be multiplied 2-times by itself. For example:- If we want to calculate the Square of 6, then the square will be 6×6 = 36,  likewise square of 5 = 5×5 = 25

• Square root

Square root is just a reverse application of square, it means when a number multiplied 2-times by itself then it will result in the square and the root number of this result is called square root. For example:- Square of 3 = 3×3 which is equal to 9 and similarly in the reverse manner square root of 9 is equal to 3. There is another way to understand this, Which number we should multiply 2 times by itself to gain 9, then the number which will strike in your mind will be 3.

Important points of Chapter Squares and Square Roots-

• If $\dpi{100} m$ is expressed as $\dpi{100} n^{2}$ , where 'm' and 'n' are natural numbers , then m is a square number.
• All square numbers end with 0, 1, 4, 5, 6 or 9 at unit’s place.
• Square numbers can only have even number of zeros at the end.
• Square root is just a reverse application of square.
• There are two integral square roots of a perfect square number.

## Topics of NCERT for 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

6.4.1 Other patterns in squares

6.4.2 Pythagorean triplets

6.5 Square Roots

6.5.1 Finding square roots

6.5.2 Finding square root through repeated subtraction

6.5.3 Finding square root through prime factorisation

6.5.4 Finding square root by division method

6.6 Square Roots of Decimals

6.7 Estimating Square Root

## NCERT Solutions For Class 8 Maths- Chapter-wise

 Chapter -1 Rational Numbers Chapter -2 Linear Equations in One Variable Chapter-3 Understanding Quadrilaterals Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-12 Exponents and Powers Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs Chapter-16 Playing with Numbers