Class 8 Maths Square and Square Roots – Get here the Notes, Question & Practice Paper of Class 8 Maths for topic Square and Square Roots Notes. Square and Square Roots Notes for Class 8 Maths are here. You can download the Square and Square Roots Notes PDF to study all the topics in this chapter. Moreover the Class 8 Maths notes include chapter summary, definitions, examples, and key pointers for Square and Square Roots. Thus if you are studying class Maths (गणित), then the Square and Square Roots notes will help you easily understand the topic and ace it.
Class 8 Maths Notes for Square and Square Roots
Square and Square Roots is a critical part in the study of Maths. In India, it is taught in class. Therefore the Class 8 Notes for Maths topic Square and Square Roots have been compiled by teachers and field experts. They explain the complete chapter of Square and Square Roots in one-shot.
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Square and Square Roots Notes for Class 8 Maths
Square and Square Roots Class 8 notes is as follows. You can view the document here and also download it use it anytime for future reference whenever you want to brush up your concepts of Maths.
Chapter 5 – Square and Square Roots Notes
Square Numbers
If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number.
Example: 1, 4, 9, 16 and 25.
Finding the Square of a Number
If n is a number, then its square is given as n × n = n2.
For example: Square of 5 is equal to 5 × 5 = 25
Properties of Square Numbers
Properties of square numbers are:
If a number has 0, 1, 4, 5, 6 or 9 in the unit‘s place, then it may or may not be a square number. If a number has 2, 3, 7 or 8 in its units place then it is not a square number.
If a number has 1 or 9 in unit‘s place, then it‘s square ends in 1.
If a square number ends in 6, the number whose square it is, will have either 4 or 6 in unit‘s place.
For example, consider the number 64. The unit digit of 64 is 4 and it is a square number. Because the square of 8 is 64 and 64 is considered to be a square number. Consider a number 11 (i.e., the unit‘s place of 11 is 1). Thus, the square of 11 is 121. Hence, square number 121 also has 1 in the unit‘s place.
IMPORTANT POINTS
(i) Square Roots
The square root of a number ‘a’ is that number which when multiplied by itself gives that number ‘a’ as product. Thus, if b is the square root of a
Then b × b = a or b2 = a
Important Points
The numbers which can be expressed as the product of the number with itself are called square numbers or perfect squares.
If a natural number m can be expressed as n2, where n is also a natural number, then m is called a square number.
For example, 100 is square of 10 , as 100 = 10 × 10 = 102. So 100 is a square number .
121 is the square of 1, as 121 = 11 × 11 = 112. So, 121 is a square number.
PROPERTIES OF SQUARE NUMBER
- (I) All square numbers end with 0,1,4,5,6 or 9 only at unit‘s place, i.e., all square numbers have unit‘s digit as 0,1,4,5,6 or 9 only.
- (II) No square number ends with 2,3,7or 8 at its unit‘s place.
- (III) Square numbers can have only even number of zeros at the end.
- (IV) No square number ends with odd number of zeros at the end.
METHODS TO FIND SQUARE ROOTS
- (I) Square root by repeated subtraction method
- (II) Square root by prime factorisation method.
- (III) Square root by long division method
Candidates who are ambitious to qualify the Class 8 with good score can check this article for Notes, Study Material, Practice Paper. Above we provided the link to access the Notes, Important Question and Practice Paper of Class 8 Maths for topic Square and Square Roots.
All Topics Class 8 Maths Notes
Chapter wise notes for Maths (गणित) are given below.
- Rational Numbers
- Linear Equation in One Variable
- Understanding Quadrangles
- Data Handling
- Square and Square Roots
- Comparing Quantities
- Algebraic Expression and Identities
- Mensuration
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs
Class 8 Notes for All Subjects
NCERT Solutions for Class 8 Maths Square and Square Roots
The Square and Square Roots notes here help you solve the questions and answers. Also, you can complete the Class 8 Square and Square Roots worksheet using the same. In addition you will also tackle CBSE Class 8 Maths Important Questions with these Class 8 notes.
However if you still need help, then you can use the NCERT Solutions for Class 8 Maths Square and Square Roots to get all the answers. Square and Square Roots solutions contain questions, answers, and steps to solve all questions.
Notes for All Classes
- Class 6 Notes
- Class 7 Notes
- Class 8 Notes
- Class 9 Notes
- Class 10 Notes
- Class 11 Notes
- Class 12 Notes
Square and Square Roots Notes for Class 8 Maths – An Overview
| Name of Topic | Square and Square Roots |
| Class | 8 |
| Subject | Maths |
| All Class 8 Maths Notes | Class 8 Maths Notes |
| All Class 8 Notes | Class 8 Notes |
Class 8 Square and Square Roots Notes for All Boards
You can use the Class 8 Maths notes of Square and Square Roots for all boards.
The education boards in India for which Square and Square Roots notes are relevant are – CBSE, CISCE, AHSEC, CHSE Odisha, CGBSE, HBSE, HPBOSE, PUE Karnataka, MSBSHSE, PSEB, RBSE, TBSE, UPMSP, UBSE, BIEAP, BSEB, GBSHSE, GSEB, JAC, JKBOSE, KBPE, MBOSE, MBSE, MPBSE, NBSE, DGE TN, TSBIE, COHSEM, WBCHSE.
Therefore you can refer to these notes as CBSE, CISCE, AHSEC, CHSE Odisha, CGBSE, HBSE, HPBOSE, PUE Karnataka, MSBSHSE, PSEB, RBSE, TBSE, UPMSP, UBSE, BIEAP, BSEB, GBSHSE, GSEB, JAC, JKBOSE, KBPE, MBOSE, MBSE, MPBSE, NBSE, DGE TN, TSBIE, COHSEM, WBCHSE notes for class Class 8 / Class / Maths for the topic Square and Square Roots.
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