NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.3 Part 2

Get top class preparation for IEO right from your home: fully solved questions with step-by-step explanation- practice your way to success.

Prime factorization method for squares and square Roots

Prime Factorization Method for Squares and Square Roots

Loading Image

Question 4: Find the square roots of the following numbers by the Prime Factorization method:

(i) 729

(ii) 400

(iii) 1764

(iv) 4096

(v) 7744

(vi) 9604

(vii) 5959

(viii) 9216

(ix) 529

(x) 8100

Answer:

(i) 729

Square Roots of 729 by prime factorization method

3

729

3

243

3

81

3

27

3

9

3

3

1

(ii) 400

Square Roots of 729 by prime factorization method

2

400

2

200

2

100

2

50

5

25

5

5

1

(iii) 1764

Square Roots of 1764 by prime factorization method

2

1764

2

882

3

441

3

147

7

49

7

7

1

(iv) 4096

Square Roots of 4096 by prime factorization method

2

4096

2

2048

2

1024

2

512

2

256

2

128

2

64

2

32

2

16

2

8

2

4

2

2

1

(v) 7744

7744 =

Square Roots of 7744 by prime factorization method

2

7744

2

1936

2

968

2

484

2

242

2

121

11

11

1