Find the smallest number by which 2592 be multiplied so that the produ

1.	Find the smallest number by which 2592 be multiplied so that the product is a perfect square.
Answer» We factor the given number, 2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 2592 = 36√2 We have to multiply 2 so that we get a perfect square. = 2592 x 2 = 5184 = √5184 = 72 Therefore, The smallest number is 2 which has to be multiplied.

Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

Answer»

We factor the given number,

2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

2592 = 36√2

We have to multiply 2 so that we get a perfect square.

= 2592 x 2

= 5184

= √5184

= 72

Therefore, The smallest number is 2 which has to be multiplied.

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Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

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