What 2 square numbers subtract to make 7567?

What two square numbers subtract to make 7567? In other words, when you subtract one square number from another square number, the answer is 7567. 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 = 7567

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

104² - 57² = 7567

104² is 10816 and 57² is 3249, therefore the answer to the question "What 2 square numbers subtract to make 7567?" is 10816 and 3249 as illustrated below:

10816 - 3249 = 7567

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 7567. Below we list alternate solutions if available.

30976 - 23409 = 7567
295936 - 288369 = 7567

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