What 2 square numbers subtract to make 1008?

What two square numbers subtract to make 1008? In other words, when you subtract one square number from another square number, the answer is 1008. 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 = 1008

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

32² - 4² = 1008

32² is 1024 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 1008?" is 1024 and 16 as illustrated below:

1024 - 16 = 1008

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 1008. Below we list alternate solutions if available.

1089 - 81 = 1008
1369 - 361 = 1008
1849 - 841 = 1008

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