What 2 square numbers subtract to make 1623?

What two square numbers subtract to make 1623? In other words, when you subtract one square number from another square number, the answer is 1623. 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 = 1623

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

272² - 269² = 1623

272² is 73984 and 269² is 72361, therefore the answer to the question "What 2 square numbers subtract to make 1623?" is 73984 and 72361 as illustrated below:

73984 - 72361 = 1623

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 1623. Below we list alternate solutions if available.

659344 - 657721 = 1623

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