What 2 square numbers subtract to make 1724?

What two square numbers subtract to make 1724? In other words, when you subtract one square number from another square number, the answer is 1724. 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 = 1724

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

432² - 430² = 1724

432² is 186624 and 430² is 184900, therefore the answer to the question "What 2 square numbers subtract to make 1724?" is 186624 and 184900 as illustrated below:

186624 - 184900 = 1724

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 1724. Below we list alternate solutions if available.

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