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6. Find the square roots of the following numbers by prime factorization method.а)729b)1764c)9604

Answer»

a) 729 = 3×3×3×3×3×3 √729 = √(3×3×3×3×3×3) = 3×3×3 = 27 b) 1764 = 2×2×3×3×7×7 √1764 = √(2×2×3×3×7×7) = 2×3×7 = 42 c) 9604 = 2×2×7×7×7×7 √9604 = √(2×2×7×7×7×7) = 2×7×7 = 98

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