What 2 square numbers subtract to make 2661?

What two square numbers subtract to make 2661? In other words, when you subtract one square number from another square number, the answer is 2661. 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 = 2661

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

445² - 442² = 2661

445² is 198025 and 442² is 195364, therefore the answer to the question "What 2 square numbers subtract to make 2661?" is 198025 and 195364 as illustrated below:

198025 - 195364 = 2661

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 2661. Below we list alternate solutions if available.

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