What 2 square numbers subtract to make 3661?

What two square numbers subtract to make 3661? In other words, when you subtract one square number from another square number, the answer is 3661. 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 = 3661

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

265² - 258² = 3661

265² is 70225 and 258² is 66564, therefore the answer to the question "What 2 square numbers subtract to make 3661?" is 70225 and 66564 as illustrated below:

70225 - 66564 = 3661

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 3661. Below we list alternate solutions if available.

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