What 2 square numbers subtract to make 479?

What two square numbers subtract to make 479? In other words, when you subtract one square number from another square number, the answer is 479. 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 = 479

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

240² - 239² = 479

240² is 57600 and 239² is 57121, therefore the answer to the question "What 2 square numbers subtract to make 479?" is 57600 and 57121 as illustrated below:

57600 - 57121 = 479

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 479. Below we list alternate solutions if available.

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