find the smallest number by which 1100 must be multiplied so that the product become a perfect square. so obtained.
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By Prime factorization of 1100 we get
2×2×2×2×2×2×3×5
For a no to be a perfect square there must have pairs of no. Or
√1100=√2×2×2×2×2×2×3×5
=2×2×2×√3×5
Which means when we multiply 15 to the no. It becomes perfect square
2×2×2×2×2×2×3×5
For a no to be a perfect square there must have pairs of no. Or
√1100=√2×2×2×2×2×2×3×5
=2×2×2×√3×5
Which means when we multiply 15 to the no. It becomes perfect square
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