What 2 square numbers subtract to make 1172?

What two square numbers subtract to make 1172? In other words, when you subtract one square number from another square number, the answer is 1172. 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 = 1172

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

294² - 292² = 1172

294² is 86436 and 292² is 85264, therefore the answer to the question "What 2 square numbers subtract to make 1172?" is 86436 and 85264 as illustrated below:

86436 - 85264 = 1172

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 1172. Below we list alternate solutions if available.

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