What 2 square numbers subtract to make 8487?

What two square numbers subtract to make 8487? In other words, when you subtract one square number from another square number, the answer is 8487. 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 = 8487

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

96² - 27² = 8487

96² is 9216 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 8487?" is 9216 and 729 as illustrated below:

9216 - 729 = 8487

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 8487. Below we list alternate solutions if available.

15376 - 6889 = 8487
38416 - 29929 = 8487
226576 - 218089 = 8487

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What 2 square numbers subtract to make 8488?
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