What 2 square numbers subtract to make 8028?

What two square numbers subtract to make 8028? In other words, when you subtract one square number from another square number, the answer is 8028. 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 = 8028

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

232² - 214² = 8028

232² is 53824 and 214² is 45796, therefore the answer to the question "What 2 square numbers subtract to make 8028?" is 53824 and 45796 as illustrated below:

53824 - 45796 = 8028

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 8028. Below we list alternate solutions if available.

451584 - 443556 = 8028

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