Exercise 3.3

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NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.3

Mastering the inverse operation of squaring is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.3. While previous exercises focused on creating squares, this exercise teaches you how to "undo" that process to find the original base. You will learn two primary methods: Finding square roots through Repeated Subtraction and the more efficient Prime Factorization Method.

Class 8 Math Lessons (Ch 3): Learn to Find Square Roots with Ease! The solutions to Exercise 3.3 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how to break down large numbers into their prime components. The solutions are in accordance with the CBSE Guidelines so as to provide students with the best path available to improve their speed and accuracy in radical calculations. Additionally, these solutions will aid students in building a solid foundation for higher-grade algebra and geometry.

1.0Download Class 8 Maths Chapter 3 Ex 3.3 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.3

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.3

The Radical Sign: Understanding the symbol which denotes the square root of a number.
Repeated Subtraction Method: Finding the square root by subtracting consecutive odd numbers (1, 3, 5...) from the given number until you reach 0. The number of steps taken is the square root.
Prime Factorization Method: Resolving a number into its prime factors and pairing them to extract the square root.
Inverse Operation: Recognizing that if $7^{2} = 49, t h e n 49 = 7$ .
Making a Perfect Square: Determining the smallest number to multiply or divide by a non-square number to turn it into a perfect square.

3.0NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers : All Exercises

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.1

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.2

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.3

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.4

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.5

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.6

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.7

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.8

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.9

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3

Conceptual Clarity: Visualizes the "pairing" process in prime factorization.
Exam-Oriented: Focuses on the "multiply/divide to make square" questions, which are high-weightage.
Logical Steps: Every calculation is broken down into simple, manageable parts.
Error Prevention: Teaches students to double-check their prime factor sets for unpaired numbers.

NCERT Class 8 Maths Ch. 3 A Story of Numbers Other Exercises:-

Exercise 3.3

NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 - A Square and a Cube

Chapter 2 - Power play

Chapter 3 - A story of Numbers

Chapter 4 - Quadrilaterals

Chapter 5 - Number Play

Chapter 6 - We distibute, yet thinmgs multiply

Chapter 7 - Proportional Reasoning

Frequently Asked Questions

Join ALLEN!

(Session 2026 - 27)

Name

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Class

Choose class

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Preferred Mode

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I agree to

I authorise ALLEN Career Institute Pvt Ltd to send me regular updates via Phone calls, Whatsapp, SMS, Robocalls (Automated Calls), Emails, or on postal address.

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.3

Mastering the inverse operation of squaring is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.3. While previous exercises focused on creating squares, this exercise teaches you how to "undo" that process to find the original base. You will learn two primary methods: Finding square roots through Repeated Subtraction and the more efficient Prime Factorization Method.

Class 8 Math Lessons (Ch 3): Learn to Find Square Roots with Ease! The solutions to Exercise 3.3 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how to break down large numbers into their prime components. The solutions are in accordance with the CBSE Guidelines so as to provide students with the best path available to improve their speed and accuracy in radical calculations. Additionally, these solutions will aid students in building a solid foundation for higher-grade algebra and geometry.

1.0Download Class 8 Maths Chapter 3 Ex 3.3 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.3

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.3

The Radical Sign: Understanding the symbol which denotes the square root of a number.
Repeated Subtraction Method: Finding the square root by subtracting consecutive odd numbers (1, 3, 5...) from the given number until you reach 0. The number of steps taken is the square root.
Prime Factorization Method: Resolving a number into its prime factors and pairing them to extract the square root.
Inverse Operation: Recognizing that if $7^{2} = 49, t h e n 49 = 7$ .
Making a Perfect Square: Determining the smallest number to multiply or divide by a non-square number to turn it into a perfect square.

3.0NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers : All Exercises

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.1

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.2

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.3

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.4

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.5

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.6

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.7

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.8

NCERT Solutions for Class 8 Maths Chapter 3 A Story of Numbers - Exercise 3.9

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3

Conceptual Clarity: Visualizes the "pairing" process in prime factorization.
Exam-Oriented: Focuses on the "multiply/divide to make square" questions, which are high-weightage.
Logical Steps: Every calculation is broken down into simple, manageable parts.
Error Prevention: Teaches students to double-check their prime factor sets for unpaired numbers.