What 2 square numbers subtract to make 999?

What two square numbers subtract to make 999? In other words, when you subtract one square number from another square number, the answer is 999. 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 = 999

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

32² - 5² = 999

32² is 1024 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 999?" is 1024 and 25 as illustrated below:

1024 - 25 = 999

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 999. Below we list alternate solutions if available.

3600 - 2601 = 999
28224 - 27225 = 999
250000 - 249001 = 999

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