What 2 square numbers subtract to make 2361?

What two square numbers subtract to make 2361? In other words, when you subtract one square number from another square number, the answer is 2361. 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 = 2361

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

395² - 392² = 2361

395² is 156025 and 392² is 153664, therefore the answer to the question "What 2 square numbers subtract to make 2361?" is 156025 and 153664 as illustrated below:

156025 - 153664 = 2361

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 2361. Below we list alternate solutions if available.

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