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Find the smallest number by which 3645 must be multiplied to get a perfect square.

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Find the smallest number by which 3645 must be multiplied to get a perfect square.

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The prime factorization of 3645 = (3 × 3) × (3 × 3) (3 × 3) × 5 

∴ Deficiency of one ‘5’ is appeared in the above product. 

∴ 3645 is multiplied with 5 then we will get a perfect square.

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