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The least integer than must be added to(9798 × 9792) to make it perfect square is

Question

The least integer than must be added to (9798 × 9792) to make it perfect square is

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Solution

To solve this problem, we need to follow these steps:

  1. First, calculate the product of 9798 and 9792. The result is 95904016.

  2. Next, find the square root of this number. The square root of 95904016 is approximately 9795.

  3. Since we're looking for the least integer that must be added to make it a perfect square, we need to find the next whole number after 9795, which is 9796.

  4. Square 9796 to get the next perfect square, which is 95961616.

  5. Finally, subtract the original product (95904016) from this perfect square (95961616). The result is 57600.

So, the least integer that must be added to the product of 9798 and 9792 to make it a perfect square is 57600.

This problem has been solved

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