What 2 square numbers subtract to make 5661?

What two square numbers subtract to make 5661? In other words, when you subtract one square number from another square number, the answer is 5661. 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 = 5661

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

81² - 30² = 5661

81² is 6561 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 5661?" is 6561 and 900 as illustrated below:

6561 - 900 = 5661

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 5661. Below we list alternate solutions if available.

9025 - 3364 = 5661
30625 - 24964 = 5661
101761 - 96100 = 5661

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