What 2 square numbers subtract to make 8595?

What two square numbers subtract to make 8595? In other words, when you subtract one square number from another square number, the answer is 8595. 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 = 8595

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

118² - 73² = 8595

118² is 13924 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 8595?" is 13924 and 5329 as illustrated below:

13924 - 5329 = 8595

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 8595. Below we list alternate solutions if available.

86436 - 77841 = 8595
232324 - 223729 = 8595
743044 - 734449 = 8595

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What 2 square numbers subtract to make 8596?
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