What 2 square numbers subtract to make 4677?

What two square numbers subtract to make 4677? In other words, when you subtract one square number from another square number, the answer is 4677. 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 = 4677

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

781² - 778² = 4677

781² is 609961 and 778² is 605284, therefore the answer to the question "What 2 square numbers subtract to make 4677?" is 609961 and 605284 as illustrated below:

609961 - 605284 = 4677

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 4677. Below we list alternate solutions if available.

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