What 2 square numbers subtract to make 6128?

What two square numbers subtract to make 6128? In other words, when you subtract one square number from another square number, the answer is 6128. 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 = 6128

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

387² - 379² = 6128

387² is 149769 and 379² is 143641, therefore the answer to the question "What 2 square numbers subtract to make 6128?" is 149769 and 143641 as illustrated below:

149769 - 143641 = 6128

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 6128. Below we list alternate solutions if available.

589824 - 583696 = 6128

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