What 2 square numbers subtract to make 1384?

What two square numbers subtract to make 1384? In other words, when you subtract one square number from another square number, the answer is 1384. 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 = 1384

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

175² - 171² = 1384

175² is 30625 and 171² is 29241, therefore the answer to the question "What 2 square numbers subtract to make 1384?" is 30625 and 29241 as illustrated below:

30625 - 29241 = 1384

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 1384. Below we list alternate solutions if available.

120409 - 119025 = 1384

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