What 2 square numbers subtract to make 8172?

What two square numbers subtract to make 8172? In other words, when you subtract one square number from another square number, the answer is 8172. 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 = 8172

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

236² - 218² = 8172

236² is 55696 and 218² is 47524, therefore the answer to the question "What 2 square numbers subtract to make 8172?" is 55696 and 47524 as illustrated below:

55696 - 47524 = 8172

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 8172. Below we list alternate solutions if available.

467856 - 459684 = 8172

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