What 2 square numbers subtract to make 2396?

What two square numbers subtract to make 2396? In other words, when you subtract one square number from another square number, the answer is 2396. 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 = 2396

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

600² - 598² = 2396

600² is 360000 and 598² is 357604, therefore the answer to the question "What 2 square numbers subtract to make 2396?" is 360000 and 357604 as illustrated below:

360000 - 357604 = 2396

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 2396. Below we list alternate solutions if available.

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