What 2 square numbers subtract to make 2709?

What two square numbers subtract to make 2709? In other words, when you subtract one square number from another square number, the answer is 2709. 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 = 2709

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

53² - 10² = 2709

53² is 2809 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 2709?" is 2809 and 100 as illustrated below:

2809 - 100 = 2709

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 2709. Below we list alternate solutions if available.

5625 - 2916 = 2709
24025 - 21316 = 2709
38809 - 36100 = 2709

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