What 2 square numbers subtract to make 8897?

What two square numbers subtract to make 8897? In other words, when you subtract one square number from another square number, the answer is 8897. 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 = 8897

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

129² - 88² = 8897

129² is 16641 and 88² is 7744, therefore the answer to the question "What 2 square numbers subtract to make 8897?" is 16641 and 7744 as illustrated below:

16641 - 7744 = 8897

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 8897. Below we list alternate solutions if available.

25281 - 16384 = 8897
408321 - 399424 = 8897

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