What 2 square numbers subtract to make 8496?

What two square numbers subtract to make 8496? In other words, when you subtract one square number from another square number, the answer is 8496. 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 = 8496

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

95² - 23² = 8496

95² is 9025 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 8496?" is 9025 and 529 as illustrated below:

9025 - 529 = 8496

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 8496. Below we list alternate solutions if available.

18496 - 10000 = 8496
35721 - 27225 = 8496
60025 - 51529 = 8496

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What 2 square numbers subtract to make 8497?
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