What 2 square numbers subtract to make 1328?

What two square numbers subtract to make 1328? In other words, when you subtract one square number from another square number, the answer is 1328. 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 = 1328

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

87² - 79² = 1328

87² is 7569 and 79² is 6241, therefore the answer to the question "What 2 square numbers subtract to make 1328?" is 7569 and 6241 as illustrated below:

7569 - 6241 = 1328

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 1328. Below we list alternate solutions if available.

28224 - 26896 = 1328
110889 - 109561 = 1328

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