What 2 square numbers subtract to make 3388?

What two square numbers subtract to make 3388? In other words, when you subtract one square number from another square number, the answer is 3388. 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 = 3388

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

88² - 66² = 3388

88² is 7744 and 66² is 4356, therefore the answer to the question "What 2 square numbers subtract to make 3388?" is 7744 and 4356 as illustrated below:

7744 - 4356 = 3388

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 3388. Below we list alternate solutions if available.

16384 - 12996 = 3388
719104 - 715716 = 3388

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