What 2 square numbers subtract to make 3552?

What two square numbers subtract to make 3552? In other words, when you subtract one square number from another square number, the answer is 3552. 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 = 3552

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

61² - 13² = 3552

61² is 3721 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 3552?" is 3721 and 169 as illustrated below:

3721 - 169 = 3552

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 3552. Below we list alternate solutions if available.

7396 - 3844 = 3552
14161 - 10609 = 3552
23716 - 20164 = 3552

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