What 2 square numbers subtract to make 5748?

What two square numbers subtract to make 5748? In other words, when you subtract one square number from another square number, the answer is 5748. 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 = 5748

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

482² - 476² = 5748

482² is 232324 and 476² is 226576, therefore the answer to the question "What 2 square numbers subtract to make 5748?" is 232324 and 226576 as illustrated below:

232324 - 226576 = 5748

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 5748. Below we list alternate solutions if available.

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