What 2 square numbers subtract to make 7264?

What two square numbers subtract to make 7264? In other words, when you subtract one square number from another square number, the answer is 7264. 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 = 7264

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

235² - 219² = 7264

235² is 55225 and 219² is 47961, therefore the answer to the question "What 2 square numbers subtract to make 7264?" is 55225 and 47961 as illustrated below:

55225 - 47961 = 7264

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 7264. Below we list alternate solutions if available.

209764 - 202500 = 7264
828100 - 820836 = 7264

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