What 2 square numbers subtract to make 5904?

What two square numbers subtract to make 5904? In other words, when you subtract one square number from another square number, the answer is 5904. 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 = 5904

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

77² - 5² = 5904

77² is 5929 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 5904?" is 5929 and 25 as illustrated below:

5929 - 25 = 5904

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 5904. Below we list alternate solutions if available.

10000 - 4096 = 5904
18225 - 12321 = 5904
29929 - 24025 = 5904

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