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4. Find the square roots of the following numbers by the Prime Factorisation Method. v. 7744

4. Find the square roots of the following numbers by the Prime Factorisation Method.  v. 7744  

Grade:12th pass

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
26 days ago
Dear Student



7744 = 2×2×2×2×2×2×11×11×1
⇒ 7744 = (2×2)×(2×2)×(2×2)×(11×11)
⇒ 7744 = (2×2×2×11)×(2×2×2×11)
⇒ 7744 = (2×2×2×11)2
⇒ √7744 = 2×2×2×11 = 88


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