What 2 square numbers subtract to make 3128?

What two square numbers subtract to make 3128? In other words, when you subtract one square number from another square number, the answer is 3128. 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 = 3128

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

57² - 11² = 3128

57² is 3249 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 3128?" is 3249 and 121 as illustrated below:

3249 - 121 = 3128

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 3128. Below we list alternate solutions if available.

3969 - 841 = 3128
154449 - 151321 = 3128
613089 - 609961 = 3128

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