What 2 square numbers subtract to make 5745?

What two square numbers subtract to make 5745? In other words, when you subtract one square number from another square number, the answer is 5745. 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 = 5745

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

199² - 184² = 5745

199² is 39601 and 184² is 33856, therefore the answer to the question "What 2 square numbers subtract to make 5745?" is 39601 and 33856 as illustrated below:

39601 - 33856 = 5745

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 5745. Below we list alternate solutions if available.

332929 - 327184 = 5745
919681 - 913936 = 5745

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