Find the least number by which 3200 is to divided to get a perfect square ?
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By prime factorization, we get;
Pairs of 2 are not complete in it's prime factorization.
3200 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5
Clearly, the number 3200 should be divided by 2 to get a perfect square 1600.
Hence, the root of 1600 is 40.
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Answer:
3200=2×2×2×2×2×2×2×5×5
2^6×5^2×2
√(2^6×5^2×2)
1600√2
40
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