What 2 square numbers subtract to make 2028?

What two square numbers subtract to make 2028? In other words, when you subtract one square number from another square number, the answer is 2028. 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 = 2028

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

52² - 26² = 2028

52² is 2704 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 2028?" is 2704 and 676 as illustrated below:

2704 - 676 = 2028

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 2028. Below we list alternate solutions if available.

29584 - 27556 = 2028
258064 - 256036 = 2028

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