Question

4. Find the smallest number by which each of the following numbers must be multiplied to get a
perfect square number. Also, find the square root of the resulting number:
(ii) 2592
(iii) 3832
(iv) 3380
(I) 588​

Answer 1

Answer:

Prime

factorisation of 2592=2×2×2×2×2×3×3×3×3

On grouping the factors in pairs, we notice that one 2 is left out. Hence,we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.

Hence, 2592 should be multiplied by 2 to make it a perfect square.

Step-by-step explanation:

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