What 2 square numbers subtract to make 4581?

What two square numbers subtract to make 4581? In other words, when you subtract one square number from another square number, the answer is 4581. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 4581

We solved the equation above and found this to be true:

259² - 250² = 4581

259² is 67081 and 250² is 62500, therefore the answer to the question "What 2 square numbers subtract to make 4581?" is 67081 and 62500 as illustrated below:

67081 - 62500 = 4581

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 4581. Below we list alternate solutions if available.

585225 - 580644 = 4581

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