What 2 square numbers subtract to make 3423?

What two square numbers subtract to make 3423? In other words, when you subtract one square number from another square number, the answer is 3423. 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 = 3423

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

92² - 71² = 3423

92² is 8464 and 71² is 5041, therefore the answer to the question "What 2 square numbers subtract to make 3423?" is 8464 and 5041 as illustrated below:

8464 - 5041 = 3423

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 3423. Below we list alternate solutions if available.

61504 - 58081 = 3423
327184 - 323761 = 3423

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