What 2 square numbers subtract to make 2380?

What two square numbers subtract to make 2380? In other words, when you subtract one square number from another square number, the answer is 2380. 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 = 2380

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

52² - 18² = 2380

52² is 2704 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 2380?" is 2704 and 324 as illustrated below:

2704 - 324 = 2380

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 2380. Below we list alternate solutions if available.

8464 - 6084 = 2380
15376 - 12996 = 2380
355216 - 352836 = 2380

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