What 2 square numbers subtract to make 2359?

What two square numbers subtract to make 2359? In other words, when you subtract one square number from another square number, the answer is 2359. 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 = 2359

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

172² - 165² = 2359

172² is 29584 and 165² is 27225, therefore the answer to the question "What 2 square numbers subtract to make 2359?" is 29584 and 27225 as illustrated below:

29584 - 27225 = 2359

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 2359. Below we list alternate solutions if available.

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