What 2 square numbers subtract to make 2628?

What two square numbers subtract to make 2628? In other words, when you subtract one square number from another square number, the answer is 2628. 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 = 2628

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

82² - 64² = 2628

82² is 6724 and 64² is 4096, therefore the answer to the question "What 2 square numbers subtract to make 2628?" is 6724 and 4096 as illustrated below:

6724 - 4096 = 2628

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 2628. Below we list alternate solutions if available.

49284 - 46656 = 2628
432964 - 430336 = 2628

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