Question

. Find the smallest number by which 4374 should be multiplied (or divided) so that the product (or quotient) becomes a
perfect square. In both the cases find the square root of the perfect square thus obtained.


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Answer 1

Answer:

Ans 6 smallest no. and 162,27

Step-by-step explanation:

By doing the prime factorisation we get 2×(3×3)×(3×3)×(3×3)×3 in this 2 and 3 left unpaired so 2×3 = 6

So we should divide or multiply 4374 by 6 to get a perfect square .

If we will multiply 4374 by 6 then we will get 26244 which is the square root of 162 and if we will divide it by 6 we will get 729 which is the square root of 27.

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Answer 2

Answer:

6 smallest no. and 162,27

Step-by-step explanation:

By doing the prime factorisation we get 2×(3×3)×(3×3)×(3×3)×3 in this 2 and 3 left unpaired so 2×3 = 6

So we should divide or multiply 4374 by 6 to get a perfect square .

If we will multiply 4374 by 6 then we will get 26244 which is the square root of 162 and if we will divide it by 6 we will get 729 which is the square root of 27.