What 2 square numbers subtract to make 5805?

What two square numbers subtract to make 5805? In other words, when you subtract one square number from another square number, the answer is 5805. 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 = 5805

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

87² - 42² = 5805

87² is 7569 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 5805?" is 7569 and 1764 as illustrated below:

7569 - 1764 = 5805

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 5805. Below we list alternate solutions if available.

7921 - 2116 = 5805
14641 - 8836 = 5805
40401 - 34596 = 5805

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