What 2 square numbers subtract to make 423?

What two square numbers subtract to make 423? In other words, when you subtract one square number from another square number, the answer is 423. 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 = 423

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

28² - 19² = 423

28² is 784 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 423?" is 784 and 361 as illustrated below:

784 - 361 = 423

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 423. Below we list alternate solutions if available.

5184 - 4761 = 423
44944 - 44521 = 423

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