What 2 square numbers subtract to make 1023?

What two square numbers subtract to make 1023? In other words, when you subtract one square number from another square number, the answer is 1023. 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 = 1023

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

32² - 1² = 1023

32² is 1024 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1023?" is 1024 and 1 as illustrated below:

1024 - 1 = 1023

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 1023. Below we list alternate solutions if available.

2704 - 1681 = 1023
29584 - 28561 = 1023
262144 - 261121 = 1023

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