2. Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also, find the square root of the perfect square so obtained.
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Answer:
By Prime Factorization,
1100 = 2×2×5×5×11
Hence, 11 is the smallest number by which 1100 must be multiplied so that the product becomes a perfect square.
Square root = 2×5×11 = 110
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