What 2 square numbers subtract to make 5157?

What two square numbers subtract to make 5157? In other words, when you subtract one square number from another square number, the answer is 5157. 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 = 5157

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

109² - 82² = 5157

109² is 11881 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 5157?" is 11881 and 6724 as illustrated below:

11881 - 6724 = 5157

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 5157. Below we list alternate solutions if available.

84681 - 79524 = 5157
741321 - 736164 = 5157

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