What 2 square numbers subtract to make 5792?

What two square numbers subtract to make 5792? In other words, when you subtract one square number from another square number, the answer is 5792. 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 = 5792

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

189² - 173² = 5792

189² is 35721 and 173² is 29929, therefore the answer to the question "What 2 square numbers subtract to make 5792?" is 35721 and 29929 as illustrated below:

35721 - 29929 = 5792

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 5792. Below we list alternate solutions if available.

133956 - 128164 = 5792
527076 - 521284 = 5792

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