What 2 square numbers subtract to make 1423?

What two square numbers subtract to make 1423? In other words, when you subtract one square number from another square number, the answer is 1423. 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 = 1423

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

712² - 711² = 1423

712² is 506944 and 711² is 505521, therefore the answer to the question "What 2 square numbers subtract to make 1423?" is 506944 and 505521 as illustrated below:

506944 - 505521 = 1423

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 1423. Below we list alternate solutions if available.

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