What 2 square numbers subtract to make 8000?

What two square numbers subtract to make 8000? In other words, when you subtract one square number from another square number, the answer is 8000. 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 = 8000

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

90² - 10² = 8000

90² is 8100 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 8000?" is 8100 and 100 as illustrated below:

8100 - 100 = 8000

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 8000. Below we list alternate solutions if available.

11025 - 3025 = 8000
14400 - 6400 = 8000
19881 - 11881 = 8000

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