What 2 square numbers subtract to make 5664?

What two square numbers subtract to make 5664? In other words, when you subtract one square number from another square number, the answer is 5664. 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 = 5664

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

83² - 35² = 5664

83² is 6889 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 5664?" is 6889 and 1225 as illustrated below:

6889 - 1225 = 5664

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 5664. Below we list alternate solutions if available.

16900 - 11236 = 5664
34225 - 28561 = 5664
58564 - 52900 = 5664

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