7. Find the smallest number by which 3042 must be divided so that it becomes a perfect square.
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Answer:
the smallest number by which 3042 must be divided so that it becomes a perfect square is 2.
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Step-by-step explanation:
Prime Factorization of 720 is,
720=2×2×2×2×3×3×5
To find perfect square make pair of two of prime factors
thus,
there is a pair of 5 is missing hence to make 720 a perfect square we have to multiply by 5.
5 is the smallest number by which 720 should be multiplied to get a perfect square number
(i) 720×5=3600
(ii)
3600
=60
∴3600+60=3660
Hence 3660 is the answer.
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