What 2 square numbers subtract to make 2613?

What two square numbers subtract to make 2613? In other words, when you subtract one square number from another square number, the answer is 2613. 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 = 2613

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

53² - 14² = 2613

53² is 2809 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 2613?" is 2809 and 196 as illustrated below:

2809 - 196 = 2613

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 2613. Below we list alternate solutions if available.

11449 - 8836 = 2613
190969 - 188356 = 2613

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