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Find the square roots of the following numbers by the Prime Factorisation Method. iv. 4096

Find the square roots of the following numbers by the Prime Factorisation Method.   iv. 4096

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5969 Points
5 months ago
Dear Student

4096 = 2×2×2×2×2×2×2×2×2×2×2×2
⇒ 4096 = (2×2)×(2×2)×(2×2)×(2×2)×(2×2)×(2×2) ⇒ 4096 = (2×2×2×2×2×2)×(2×2×2×2×2×2)
⇒ 4096 = (2×2×2×2×2×2)2
⇒ √4096 = 2×2×2 ×2×2×2 = 64
Thanks

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