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Find the square roots of the following numbers by the Prime Factorisation Method.

(i) 9216  (ii) 529  (iii) 8100

2 Answers

+1 vote
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Best answer

(i) 9216 can be factorised as follows.

29216
24608
22304
21152
2576
2288
2144
272
236
218
39
33
1

9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3× 3

∴ √9216 = 2 x 2 x 2 x 2 x 2 x 3 = 96

(ii) 529 can be factorised as follows.

23529
2323
1

529 = 23 x 23

∴ √529 = 23

(iii) 8100 can be factorised as follows.

28100
24050
32025
3675
3225
375
525
55
1

8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5

∴ √8100 = 2 x 3 x 3 x 5 = 90 

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by (3.8k points)
edited by

(i) 9216

Answer:

square root 10Thus, A

nswer = 96

(ii) 529

Answer:

square root 11

Thus, Answer = 23

(iii) 8100

Answer:

square root 12

Thus, Answer = 90

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