What 2 square numbers subtract to make 1057?

What two square numbers subtract to make 1057? In other words, when you subtract one square number from another square number, the answer is 1057. 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 = 1057

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

79² - 72² = 1057

79² is 6241 and 72² is 5184, therefore the answer to the question "What 2 square numbers subtract to make 1057?" is 6241 and 5184 as illustrated below:

6241 - 5184 = 1057

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 1057. Below we list alternate solutions if available.

279841 - 278784 = 1057

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