The smallest number by which 4851 must be multiplied so that the product becomes a perfect square, is
Answers
Answered by
9
taking LCM
3 4851
3 1617
7 539
7 77
11
(3×3)×(7×7)×11
11 is the smallest number to be multiplied to make it a perfect square
3 4851
3 1617
7 539
7 77
11
(3×3)×(7×7)×11
11 is the smallest number to be multiplied to make it a perfect square
Answered by
5
Answer:
11
Step-by-step explanation:
Prime factorization of 4851 = 3 * 3 * 7 * 7 * 11.
In the above prime factorization, the number 11 does not make a pair. If 11 gets a pair, then the number will become a perfect square.
4851 * 11 = 53361{231 * 231} is a perfect square.
Hence, 11 is the smallest number.
Hope it helps!
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