What 2 square numbers subtract to make 7389?

What two square numbers subtract to make 7389? In other words, when you subtract one square number from another square number, the answer is 7389. 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 = 7389

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

415² - 406² = 7389

415² is 172225 and 406² is 164836, therefore the answer to the question "What 2 square numbers subtract to make 7389?" is 172225 and 164836 as illustrated below:

172225 - 164836 = 7389

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 7389. Below we list alternate solutions if available.

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