What 2 square numbers subtract to make 5057?

What two square numbers subtract to make 5057? In other words, when you subtract one square number from another square number, the answer is 5057. 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 = 5057

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

201² - 188² = 5057

201² is 40401 and 188² is 35344, therefore the answer to the question "What 2 square numbers subtract to make 5057?" is 40401 and 35344 as illustrated below:

40401 - 35344 = 5057

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 5057. Below we list alternate solutions if available.

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