What 2 square numbers subtract to make 6165?

What two square numbers subtract to make 6165? In other words, when you subtract one square number from another square number, the answer is 6165. 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 = 6165

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

91² - 46² = 6165

91² is 8281 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 6165?" is 8281 and 2116 as illustrated below:

8281 - 2116 = 6165

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 6165. Below we list alternate solutions if available.

45369 - 39204 = 6165
120409 - 114244 = 6165
383161 - 376996 = 6165

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