Question

find the smallest number by which 2592 muat be divided so that the quotient is a perfect square. a. 1 b. 2 c. 3 d. 4​

Answer 1

Answer:

b.2

Step-by-step explanation:

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.

Answer 2

So, 2592 should be divided by 2 to make it a perfect square.

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