What 2 square numbers subtract to make 2264?

What two square numbers subtract to make 2264? In other words, when you subtract one square number from another square number, the answer is 2264. 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 = 2264

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

285² - 281² = 2264

285² is 81225 and 281² is 78961, therefore the answer to the question "What 2 square numbers subtract to make 2264?" is 81225 and 78961 as illustrated below:

81225 - 78961 = 2264

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 2264. Below we list alternate solutions if available.

321489 - 319225 = 2264

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