NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.3 Part 2
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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
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
(ii) 400
2 | 400 |
2 | 200 |
2 | 100 |
2 | 50 |
5 | 25 |
5 | 5 |
1 |
(iii) 1764
2 | 1764 |
2 | 882 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
(iv) 4096
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 =
2 | 7744 |
2 | 1936 |
2 | 968 |
2 | 484 |
2 | 242 |
2 | 121 |
11 | 11 |
1 |