What 2 square numbers subtract to make 8864?

What two square numbers subtract to make 8864? In other words, when you subtract one square number from another square number, the answer is 8864. 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 = 8864

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

285² - 269² = 8864

285² is 81225 and 269² is 72361, therefore the answer to the question "What 2 square numbers subtract to make 8864?" is 81225 and 72361 as illustrated below:

81225 - 72361 = 8864

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 8864. Below we list alternate solutions if available.

311364 - 302500 = 8864

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