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Doctors Medicines MCQs Q&A

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

(i) 9216  (ii) 529  (iii) 8100

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1 Answers

(i) 9216 can be factorised as follows.

2 9216
2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
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.

23 529
23 23
1

529 = 23 x 23

∴ √529 = 23

(iii) 8100 can be factorised as follows.

2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5

∴ √8100 = 2 x 3 x 3 x 5 = 90 

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