What 2 square numbers subtract to make 1380?

What two square numbers subtract to make 1380? In other words, when you subtract one square number from another square number, the answer is 1380. 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 = 1380

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

38² - 8² = 1380

38² is 1444 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 1380?" is 1444 and 64 as illustrated below:

1444 - 64 = 1380

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 1380. Below we list alternate solutions if available.

5476 - 4096 = 1380
13924 - 12544 = 1380
119716 - 118336 = 1380

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