What 2 square numbers subtract to make 577?

What two square numbers subtract to make 577? In other words, when you subtract one square number from another square number, the answer is 577. 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 = 577

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

289² - 288² = 577

289² is 83521 and 288² is 82944, therefore the answer to the question "What 2 square numbers subtract to make 577?" is 83521 and 82944 as illustrated below:

83521 - 82944 = 577

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 577. Below we list alternate solutions if available.

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