What 2 square numbers subtract to make 4656?

What two square numbers subtract to make 4656? In other words, when you subtract one square number from another square number, the answer is 4656. 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 = 4656

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

109² - 85² = 4656

109² is 11881 and 85² is 7225, therefore the answer to the question "What 2 square numbers subtract to make 4656?" is 11881 and 7225 as illustrated below:

11881 - 7225 = 4656

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 4656. Below we list alternate solutions if available.

40000 - 35344 = 4656
87025 - 82369 = 4656
152881 - 148225 = 4656

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