What is the smallest number that must be added to 4515600 to get a perfect square?

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answer is B.

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Detailed Solution

Concept- In this problem, we will first calculate the square root of the given number, then we will look for the nearest number that can be squared perfectly, and at last, we will find the square of the closest number and subtract it from the given number.
We are given the number 4515600.
First, we will calculate the square root of the given number.

Now we can observe that
Question Image

There is no doubt that 2125 is the nearest square that is greater than the given number, thus if we try to find the square of 2125, it will come out to be 4515625.
And when we will subtract the numbers, we get

Therefore, 25 is the least number that can be added to the given number to produce a perfect square.
Hence, the correct answer is option (2) .

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