What 2 square numbers subtract to make 1313?

What two square numbers subtract to make 1313? In other words, when you subtract one square number from another square number, the answer is 1313. 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 = 1313

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

57² - 44² = 1313

57² is 3249 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 1313?" is 3249 and 1936 as illustrated below:

3249 - 1936 = 1313

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 1313. Below we list alternate solutions if available.

431649 - 430336 = 1313

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