What 2 square numbers subtract to make 5313?

What two square numbers subtract to make 5313? In other words, when you subtract one square number from another square number, the answer is 5313. 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 = 5313

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

73² - 4² = 5313

73² is 5329 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 5313?" is 5329 and 16 as illustrated below:

5329 - 16 = 5313

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 5313. Below we list alternate solutions if available.

9409 - 4096 = 5313
16129 - 10816 = 5313
18769 - 13456 = 5313

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