What 2 square numbers subtract to make 2364?

What two square numbers subtract to make 2364? In other words, when you subtract one square number from another square number, the answer is 2364. 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 = 2364

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

200² - 194² = 2364

200² is 40000 and 194² is 37636, therefore the answer to the question "What 2 square numbers subtract to make 2364?" is 40000 and 37636 as illustrated below:

40000 - 37636 = 2364

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 2364. Below we list alternate solutions if available.

350464 - 348100 = 2364

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