What 2 square numbers subtract to make 7581?

What two square numbers subtract to make 7581? In other words, when you subtract one square number from another square number, the answer is 7581. 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 = 7581

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

95² - 38² = 7581

95² is 9025 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 7581?" is 9025 and 1444 as illustrated below:

9025 - 1444 = 7581

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 7581. Below we list alternate solutions if available.

36481 - 28900 = 7581
43681 - 36100 = 7581
297025 - 289444 = 7581

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