What 2 square numbers subtract to make 6168?

What two square numbers subtract to make 6168? In other words, when you subtract one square number from another square number, the answer is 6168. 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 = 6168

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

263² - 251² = 6168

263² is 69169 and 251² is 63001, therefore the answer to the question "What 2 square numbers subtract to make 6168?" is 69169 and 63001 as illustrated below:

69169 - 63001 = 6168

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 6168. Below we list alternate solutions if available.

267289 - 261121 = 6168
597529 - 591361 = 6168

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What 2 square numbers subtract to make 6169?
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