What 2 square numbers subtract to make 2157?

What two square numbers subtract to make 2157? In other words, when you subtract one square number from another square number, the answer is 2157. 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 = 2157

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

361² - 358² = 2157

361² is 130321 and 358² is 128164, therefore the answer to the question "What 2 square numbers subtract to make 2157?" is 130321 and 128164 as illustrated below:

130321 - 128164 = 2157

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 2157. Below we list alternate solutions if available.

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