What 2 square numbers subtract to make 5117?

What two square numbers subtract to make 5117? In other words, when you subtract one square number from another square number, the answer is 5117. 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 = 5117

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

81² - 38² = 5117

81² is 6561 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 5117?" is 6561 and 1444 as illustrated below:

6561 - 1444 = 5117

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 5117. Below we list alternate solutions if available.

25281 - 20164 = 5117
136161 - 131044 = 5117

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