What 2 square numbers subtract to make 1308?

What two square numbers subtract to make 1308? In other words, when you subtract one square number from another square number, the answer is 1308. 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 = 1308

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

112² - 106² = 1308

112² is 12544 and 106² is 11236, therefore the answer to the question "What 2 square numbers subtract to make 1308?" is 12544 and 11236 as illustrated below:

12544 - 11236 = 1308

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 1308. Below we list alternate solutions if available.

107584 - 106276 = 1308

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