What 2 square numbers subtract to make 5283?

What two square numbers subtract to make 5283? In other words, when you subtract one square number from another square number, the answer is 5283. 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 = 5283

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

298² - 289² = 5283

298² is 88804 and 289² is 83521, therefore the answer to the question "What 2 square numbers subtract to make 5283?" is 88804 and 83521 as illustrated below:

88804 - 83521 = 5283

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 5283. Below we list alternate solutions if available.

777924 - 772641 = 5283

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