What 2 square numbers subtract to make 5928?

What two square numbers subtract to make 5928? In other words, when you subtract one square number from another square number, the answer is 5928. 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 = 5928

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

77² - 1² = 5928

77² is 5929 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 5928?" is 5929 and 1 as illustrated below:

5929 - 1 = 5928

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 5928. Below we list alternate solutions if available.

6889 - 961 = 5928
9409 - 3481 = 5928
16129 - 10201 = 5928

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What 2 square numbers subtract to make 5929?
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