Exercise 3.5

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

Mastering the practical use of square roots is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.5. This exercise focuses on estimating square roots of numbers that are not perfect squares and solving real-world problems where square roots are applied to find dimensions in geometry and physical arrangements.

Class 8 Math Lessons (Ch 3): Learn to Apply Square Roots with Ease! The solutions to Exercise 3.5 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how to find approximate values and solve scenario-based questions. 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 logical reasoning. Additionally, these solutions will aid students in building a solid foundation for physics where square root approximations are frequently used in formulas.

1.0Download NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.5 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.5 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.5

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.5

Estimation of Square Roots: Finding the nearest whole number for the square root of a non-perfect square by identifying the perfect squares it lies between.
Area-Side Relationship: Using the property that if the Area of a square is A, then its Side is $A$ .
Pythagoras Theorem: Applying $a^{2} + b^{2} = c^{2}$ to find the hypotenuse or missing sides in right-angled triangles.
Number of Digits in Square Roots: Using the bar method to determine the number of digits in a square root without calculating it.

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 3.5

Conceptual Clarity: Explains how to "bracket" a number between two perfect squares for quick estimation.
Exam-Oriented: Covers the "rows and columns" logic which is a favorite for competitive math exams.
Logical Steps: Provides a clear path from geometric area to linear dimensions.
Error Prevention: Ensures students correctly identify whether to round up or down based on proximity in estimation.

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

Exercise 3.5

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

Mobile Number

Class

Choose class

Goal

Choose your goal

Preferred Programs

Preferred Mode

State

Choose State

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 3.5

Mastering the practical use of square roots is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.5. This exercise focuses on estimating square roots of numbers that are not perfect squares and solving real-world problems where square roots are applied to find dimensions in geometry and physical arrangements.

Class 8 Math Lessons (Ch 3): Learn to Apply Square Roots with Ease! The solutions to Exercise 3.5 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how to find approximate values and solve scenario-based questions. 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 logical reasoning. Additionally, these solutions will aid students in building a solid foundation for physics where square root approximations are frequently used in formulas.

1.0Download NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.5 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.5 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.5

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.5

Estimation of Square Roots: Finding the nearest whole number for the square root of a non-perfect square by identifying the perfect squares it lies between.
Area-Side Relationship: Using the property that if the Area of a square is A, then its Side is $A$ .
Pythagoras Theorem: Applying $a^{2} + b^{2} = c^{2}$ to find the hypotenuse or missing sides in right-angled triangles.
Number of Digits in Square Roots: Using the bar method to determine the number of digits in a square root without calculating it.

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 3.5

Conceptual Clarity: Explains how to "bracket" a number between two perfect squares for quick estimation.
Exam-Oriented: Covers the "rows and columns" logic which is a favorite for competitive math exams.
Logical Steps: Provides a clear path from geometric area to linear dimensions.
Error Prevention: Ensures students correctly identify whether to round up or down based on proximity in estimation.