What 2 square numbers subtract to make 1396?

What two square numbers subtract to make 1396? In other words, when you subtract one square number from another square number, the answer is 1396. 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 = 1396

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

350² - 348² = 1396

350² is 122500 and 348² is 121104, therefore the answer to the question "What 2 square numbers subtract to make 1396?" is 122500 and 121104 as illustrated below:

122500 - 121104 = 1396

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 1396. Below we list alternate solutions if available.

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