What 2 square numbers subtract to make 575?

What two square numbers subtract to make 575? In other words, when you subtract one square number from another square number, the answer is 575. 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 = 575

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

24² - 1² = 575

24² is 576 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 575?" is 576 and 1 as illustrated below:

576 - 1 = 575

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 575. Below we list alternate solutions if available.

3600 - 3025 = 575
82944 - 82369 = 575

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