Exercise 3.6

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 3.6

Mastering complex numerical relationships is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.6. This exercise challenges students to apply square root logic to algebraic expressions and non-routine geometric problems. You will learn how to handle variables under radical signs and solve puzzles involving "nested" squares.

Class 8 Math Lessons (Ch 3): Learn to Solve Advanced Square Root Problems with Ease! The solutions to Exercise 3.6 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how square properties apply beyond simple integers. 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 analytical thinking. Additionally, these solutions will aid students in building a solid foundation for Class 9 and 10 mathematics, where surds and irrational numbers are introduced.

1.0Download Class 8 Maths Chapter 3 Ex 3.6 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.6 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.6

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.6

Variable-based Perfect Squares: Understanding that an expression like $(x + y)^{2}$ is a perfect square and its square root is (x+y).
Diagonal of a Square: Using the formula $Diagonal = side \times 2$ , derived from the Pythagoras Theorem.
Square Roots of Product and Quotients: Applying the rules $a \times b = a \times b an d a / b = a / b$ to simplify complex fractions.
Missing Digits in Squares: Solving puzzles where digits in a square number are replaced by letters.

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 3.6

Conceptual Clarity: Connects decimal movements with square root outputs ( $100 \to 10 in t h e roo t$ ).
Exam-Oriented: Covers the "Diagonal of a Square" problems which are high-yield for scholarship exams.
Logical Steps: Shows how to break down large non-perfect radicals into simplified surd forms.
Error Prevention: Teaches students to be careful with the number of decimal places when taking square roots.

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

Exercise 3.6

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 3.6

Mastering complex numerical relationships is simple with our NCERT Solutions for Class 8 Maths Ch 3: A Story of Numbers – Exercise 3.6. This exercise challenges students to apply square root logic to algebraic expressions and non-routine geometric problems. You will learn how to handle variables under radical signs and solve puzzles involving "nested" squares.

Class 8 Math Lessons (Ch 3): Learn to Solve Advanced Square Root Problems with Ease! The solutions to Exercise 3.6 of Class 8 Maths will be presented in a step-by-step approach so as to give students a good understanding of how square properties apply beyond simple integers. 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 analytical thinking. Additionally, these solutions will aid students in building a solid foundation for Class 9 and 10 mathematics, where surds and irrational numbers are introduced.

1.0Download Class 8 Maths Chapter 3 Ex 3.6 NCERT Solutions PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.6 are available for download as a PDF. Perfect for offline study and quick reference before exams.

NCERT Solutions Class 8 Maths Chapter 3 Ex 3.6

Download PDF

2.0Key Concepts of Chapter 3 Exercise 3.6

Variable-based Perfect Squares: Understanding that an expression like $(x + y)^{2}$ is a perfect square and its square root is (x+y).
Diagonal of a Square: Using the formula $Diagonal = side \times 2$ , derived from the Pythagoras Theorem.
Square Roots of Product and Quotients: Applying the rules $a \times b = a \times b an d a / b = a / b$ to simplify complex fractions.
Missing Digits in Squares: Solving puzzles where digits in a square number are replaced by letters.

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 3.6

Conceptual Clarity: Connects decimal movements with square root outputs ( $100 \to 10 in t h e roo t$ ).
Exam-Oriented: Covers the "Diagonal of a Square" problems which are high-yield for scholarship exams.
Logical Steps: Shows how to break down large non-perfect radicals into simplified surd forms.
Error Prevention: Teaches students to be careful with the number of decimal places when taking square roots.