NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.3 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Prime Factorization Method for Squares and Square Roots

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
3729
3243
381
327
39
33
1

(ii) 400

Square Roots of 729 by Prime Factorization Method
2400
2200
2100
250
525
55
1

(iii) 1764

Square Roots of 1764 by Prime Factorization Method
21764
2882
3441
3147
749
77
1

(iv) 4096

Square Roots of 4096 by Prime Factorization Method
24096
22048
21024
2512
2256
2128
264
232
216
28
24
22
1

(v) 7744

7744 =

Square Roots of 7744 by Prime Factorization Method
27744
21936
2968
2484
2242
2121
1111
1