What 2 square numbers subtract to make 3177?

What two square numbers subtract to make 3177? In other words, when you subtract one square number from another square number, the answer is 3177. 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 = 3177

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

181² - 172² = 3177

181² is 32761 and 172² is 29584, therefore the answer to the question "What 2 square numbers subtract to make 3177?" is 32761 and 29584 as illustrated below:

32761 - 29584 = 3177

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 3177. Below we list alternate solutions if available.

281961 - 278784 = 3177

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