Square & Square roots-NCERT Solutions Class 8 Maths-Takshilalearning

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# Square & Square roots-NCERT Solutions Class 8 Maths-Takshilalearning - PowerPoint PPT Presentation

Study Maths NCERT Solutions Class 8 - Square & Square roots. Get Class 8 Maths problems with NCERT solutions with a detailed explanation.

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Presentation Transcript

In this post, we will discuss chapter 6 of Class 8th Maths. The topic of discussion is ‘Introduction to

Square and Square roots’. We are well versed with the fact that area of a square = side *side, where side

means the length of the side.

If we will closely observe the numbers like 4, 9, 25, 64, 81, etc we will observe a fact which is these

numbers can be rewritten as-

4=2*2

9=3*3

25=5*5

64=8*8

So, these numbers can be easily expressed as the product of the number itself and these types of

numbers are also known as 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.

Watch and learn Square and Square roots in an interesting manner. For demo click NCERT Class 8

Maths.

How to find whether the number is a square number?

Let us consider a number 32

We know that 5²=25 and 6²=36. If 32 is a square number, it must the square of a natural number

between 5 and 6 and as we know that there is no natural number between 5 and 6. So 32 is not a square

number.

Number Square

1

1

2

4

3

9

4

16

5

25

6

36

7

49

8

64

9

81

10

100

The numbers 1, 4,9,16 are square numbers and these are also called perfect squares.

Now discuss the properties of square number as per Class 8 Maths syllabus.

Properties of square number

Number Square Number Square

1

1

11

121

2

4

12

144

3

9

13

169

4

16

14

196

5

25

15

225

6

36

16

256

7

49

17

289

8

64

18

324

9

81

19

361

10

100

20

400

If we will observe the above table we will see a pattern that all the squares are ending with 0,1,4,5,6 or 9

at units place. None of them are ending with 2,3,7, or 8 at units place.

We can say that if a number ends with 0, 1, 4, 5, 6, or 9, then it must be a square number.

If a number has 1 or 9 in the units place then its square ends in 1.

Square Number

1

1

81

9

121

11

361

19

If we take a square number which ends with 6, the number whose square it is will have either 4

or 6 in units place.

Square Number

16

4

36

6

196

14

256

16

In the upcoming articles, we will talk about some interesting patterns, finding the square of a number,

Pythagorean triplets, square roots etc.

For 8th Class Maths NCERT solutions please visit the website. Takshila Learning offers online/offline/live

coaching for Class 1st to 12th to the students so that they can easily score good marks in CBSE exams.