What 2 square numbers subtract to make 7409?

What two square numbers subtract to make 7409? In other words, when you subtract one square number from another square number, the answer is 7409. 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 = 7409

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

135² - 104² = 7409

135² is 18225 and 104² is 10816, therefore the answer to the question "What 2 square numbers subtract to make 7409?" is 18225 and 10816 as illustrated below:

18225 - 10816 = 7409

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 7409. Below we list alternate solutions if available.

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