Find the square root of each of the following number by using the method of prime factorization .
1. 1521
2.2025
3. 4096
4. 5776
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i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744 (vi) 9604 (vii) 5929 .
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Answer:
Square Root of 1521 by Prime Factorization Method
Prime factorization of 1521: 3 × 3 × 13 × 13.
Prime factors of 1521 in pairs: (3 × 3) × (13 × 13)
Square root of 1521: (3)² × (13)² = ±39.
Therefore, √1521 = ±39.
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