What 2 square numbers subtract to make 8575?

What two square numbers subtract to make 8575? In other words, when you subtract one square number from another square number, the answer is 8575. 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 = 8575

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

112² - 63² = 8575

112² is 12544 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 8575?" is 12544 and 3969 as illustrated below:

12544 - 3969 = 8575

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 8575. Below we list alternate solutions if available.

19600 - 11025 = 8575
33856 - 25281 = 8575
379456 - 370881 = 8575

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