What 2 square numbers subtract to make 1632?

What two square numbers subtract to make 1632? In other words, when you subtract one square number from another square number, the answer is 1632. 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 = 1632

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

41² - 7² = 1632

41² is 1681 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 1632?" is 1681 and 49 as illustrated below:

1681 - 49 = 1632

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 1632. Below we list alternate solutions if available.

2116 - 484 = 1632
3481 - 1849 = 1632
5476 - 3844 = 1632

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