What 2 square numbers subtract to make 4101?

What two square numbers subtract to make 4101? In other words, when you subtract one square number from another square number, the answer is 4101. 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 = 4101

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

685² - 682² = 4101

685² is 469225 and 682² is 465124, therefore the answer to the question "What 2 square numbers subtract to make 4101?" is 469225 and 465124 as illustrated below:

469225 - 465124 = 4101

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 4101. Below we list alternate solutions if available.

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