# CBSE - Class 08 - Mathematics - Squares and Square Roots - NCERT Solutions

## NCERT Solutions for Mathematics Squares and Square Roots

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**NCERT solutions for class 8 Mathematics Square and Square roots**

**NCERT 8 Mathematics Text book Solutions**

NCERT 8th class Mathematics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Mathematics chapter wise NCERT solution for Mathematics for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

**NCERT Class 8 Mathematics Chapter-wise Solutions**

- Chapter 1 Rational Numbers
- Chapter 2 Linear Equations in One Variable
- Chapter 3 Understanding Quadrilaterals
- Chapter 4 Practical Geometry
- Chapter 5 Data Handling
- Chapter 6 Squares and Square Roots
- Chapter 7 Cubes and Cube Roots
- Chapter 8 Comparing Quantities
- Chapter 9 Algebraic Expressions and Identities
- Chapter 10 Visualising Solid Shapes
- Chapter 11 Mensuration
- Chapter 12 Exponents and Powers
- Chapter 13 Direct and Inverse Proportions
- Chapter 14 Factorisation
- Chapter 15 Introduction to Graphs
- Chapter 16 Playing with Numbers

**CBSE class 8th Mathematics have one books. Book has chapters and topics.**

**NCERT Mathematics Book Class 8**

Here is the list of topics covered under each chapter of class 8 Mathematics NCERT text book.

**1. Rational Numbers**

- Exercise 1.1
- Exercise 1.2

**2. Linear Equations in One Variable**

- Exercise 2.1
- Exercise 2.2
- Exercise 2.3
- Exercise 2.4
- Exercise 2.5
- Exercise 2.6

**3. Understanding Quadrilaterals**

- Exercise 3.1
- Exercise 3.2
- Exercise 3.3
- Exercise 3.4

**4. Practical Geometry**

- Exercise 4.1
- Exercise 4.2
- Exercise 4.3
- Exercise 4.4
- Exercise 4.5

**5. Data Handling**

- Exercise 5.1
- Exercise 5.2
- Exercise 5.3

**6. Squares and Square Roots**

- Exercise 6.1
- Exercise 6.2
- Exercise 6.3
- Exercise 6.4

**7. Cubes and Cube Roots**

- Exercise 7.1
- Exercise 7.2

**8. Comparing Quantities**

- Exercise 8.1
- Exercise 8.2
- Exercise 8.3

**9. Algebraic Expressions and Identities**

- Exercise 9.1
- Exercise 9.2
- Exercise 9.3
- Exercise 9.4
- Exercise 9.5

**10. Visualising Solid Shapes**

- Exercise 10.1
- Exercise 10.2
- Exercise 10.3

**11. Mensuration**

- Exercise 11.1
- Exercise 11.2
- Exercise 11.3
- Exercise 11.4

**12. Exponents and Powers**

- Exercise 12.1
- Exercise 12.2

**13. Direct and Inverse Proportions**

- Exercise 13.1
- Exercise 13.2

**14. Factorisation**

- Exercise 14.1
- Exercise 14.2
- Exercise 14.3
- Exercise 14.4

**15. Introduction to Graphs**

- Exercise 15.1
- Exercise 15.2
- Exercise 15.3

**16. Playing with Numbers**

- Exercise 16.1
- Exercise 16.2

**NCERT Solution Chapter 6: Squares and Square Roots**

You know that the area of a square = side × side (where ‘side’ means ‘the length of a side’). From the above table, can we enlist the square numbers between 1 and 100? Are there any natural square numbers upto 100 left out? You will find that the rest of the numbers are not square numbers.

**Properties Of Square Numbers**

Study the square numbers in the above table. What are the ending digits (that is, digits in the one’s place) of the square numbers? All these numbers end with 0, 1, 4, 5, 6 or 9 at unit’s place. None of these end with 2, 3, 7 or 8 at unit’s place.

**Some More Interesting Patterns**

1.1. Adding triangular numbers. Do you remember triangular numbers (numbers whose dot patterns can be arranged as triangles)?

2. Numbers between square numbers Let us now see if we can find some interesting pattern between two consecutive square numbers.

3. Adding odd numbers

So we can say that the sum of first n odd natural numbers is n2. Looking at it in a different way, we can say: ‘If the number is a square number, it has to be the sum of successive odd numbers starting from 1.

4. A sum of consecutive natural numbers

**Finding The Square Of A Number**

Squares of small numbers like 3, 4, 5, 6, 7, ... etc. are easy to find. But can we find the square of 23 so quickly? The answer is not so easy and we may need to multiply 23 by 23. There is a way to find this without having to multiply 23 × 23.

**Square Roots**

Study the following situations. (a) Area of a square is 144 cm2. What could be the side of the square? Finding square roots, The inverse (opposite) operation of addition is subtraction and the inverse operation of multiplication is division. Similarly, finding the square root is the inverse operation of squaring.

**NCERT Solutions for Class 8th Mathematics**

NCERT Solutions Class 8 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8 Mathematics includes text book solutions. NCERT Solutions for CBSE Class 8 Mathematics have total 16 chapters. Class 8 Mathematics ncert Solutions in pdf for free Download are given in this website. Ncert Mathematics class 8 solutions PDF and Mathematics ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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