Question

Is 2352 a perfect square . Find the smallest number by which 2352 must be multiplied so that the product is a perfect square . Find the square root of the new number

Answer 1

Answer:

Step-by-step explanation:

Is 2352 a perfect square?

As the prime factor 3 has no pair, 2352 is not a perfect square. Now each prime factor is in a pair. Therefore, 2352 × 3 = 7056 is a perfect square. Thus the required smallest multiple of 2352 is 7056 which is a perfect square.

3

So, we will multiply the number 2352 with 3 to make it a perfect square. Now, to verify that 3 is the smallest number which is multiplied to 2352 to make it a perfect square, we need to multiply 3 with the number and then find its square root. Hence, the number is a perfect square and the perfect square is 84.

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