What 2 square numbers subtract to make 2743?

What two square numbers subtract to make 2743? In other words, when you subtract one square number from another square number, the answer is 2743. 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 = 2743

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

112² - 99² = 2743

112² is 12544 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 2743?" is 12544 and 9801 as illustrated below:

12544 - 9801 = 2743

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 2743. Below we list alternate solutions if available.

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