What 2 square numbers subtract to make 8025?

What two square numbers subtract to make 8025? In other words, when you subtract one square number from another square number, the answer is 8025. 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 = 8025

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

91² - 16² = 8025

91² is 8281 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 8025?" is 8281 and 256 as illustrated below:

8281 - 256 = 8025

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 8025. Below we list alternate solutions if available.

29929 - 21904 = 8025
75625 - 67600 = 8025
648025 - 640000 = 8025

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