What 2 square numbers subtract to make 8365?

What two square numbers subtract to make 8365? In other words, when you subtract one square number from another square number, the answer is 8365. 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 = 8365

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

137² - 102² = 8365

137² is 18769 and 102² is 10404, therefore the answer to the question "What 2 square numbers subtract to make 8365?" is 18769 and 10404 as illustrated below:

18769 - 10404 = 8365

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 8365. Below we list alternate solutions if available.

361201 - 352836 = 8365
703921 - 695556 = 8365

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