What 2 square numbers subtract to make 1249?

What two square numbers subtract to make 1249? In other words, when you subtract one square number from another square number, the answer is 1249. 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 = 1249

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

625² - 624² = 1249

625² is 390625 and 624² is 389376, therefore the answer to the question "What 2 square numbers subtract to make 1249?" is 390625 and 389376 as illustrated below:

390625 - 389376 = 1249

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 1249. Below we list alternate solutions if available.

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