What 2 square numbers subtract to make 8265?

What two square numbers subtract to make 8265? In other words, when you subtract one square number from another square number, the answer is 8265. 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 = 8265

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

91² - 4² = 8265

91² is 8281 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 8265?" is 8281 and 16 as illustrated below:

8281 - 16 = 8265

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 8265. Below we list alternate solutions if available.

10201 - 1936 = 8265
24649 - 16384 = 8265
51529 - 43264 = 8265

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What 2 square numbers subtract to make 8266?
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