What 2 square numbers subtract to make 4616?

What two square numbers subtract to make 4616? In other words, when you subtract one square number from another square number, the answer is 4616. 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 = 4616

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

579² - 575² = 4616

579² is 335241 and 575² is 330625, therefore the answer to the question "What 2 square numbers subtract to make 4616?" is 335241 and 330625 as illustrated below:

335241 - 330625 = 4616

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 4616. Below we list alternate solutions if available.

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