What 2 square numbers subtract to make 7304?

What two square numbers subtract to make 7304? In other words, when you subtract one square number from another square number, the answer is 7304. 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 = 7304

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

105² - 61² = 7304

105² is 11025 and 61² is 3721, therefore the answer to the question "What 2 square numbers subtract to make 7304?" is 11025 and 3721 as illustrated below:

11025 - 3721 = 7304

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 7304. Below we list alternate solutions if available.

31329 - 24025 = 7304
837225 - 829921 = 7304

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