What 2 square numbers subtract to make 7248?

What two square numbers subtract to make 7248? In other words, when you subtract one square number from another square number, the answer is 7248. 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 = 7248

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

163² - 139² = 7248

163² is 26569 and 139² is 19321, therefore the answer to the question "What 2 square numbers subtract to make 7248?" is 26569 and 19321 as illustrated below:

26569 - 19321 = 7248

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 7248. Below we list alternate solutions if available.

94864 - 87616 = 7248
208849 - 201601 = 7248
368449 - 361201 = 7248

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What 2 square numbers subtract to make 7249?
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