What 2 square numbers subtract to make 5913?

What two square numbers subtract to make 5913? In other words, when you subtract one square number from another square number, the answer is 5913. 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 = 5913

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

77² - 4² = 5913

77² is 5929 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 5913?" is 5929 and 16 as illustrated below:

5929 - 16 = 5913

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 5913. Below we list alternate solutions if available.

15129 - 9216 = 5913
110889 - 104976 = 5913
974169 - 968256 = 5913

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