What 2 square numbers subtract to make 7924?

What two square numbers subtract to make 7924? In other words, when you subtract one square number from another square number, the answer is 7924. 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 = 7924

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

290² - 276² = 7924

290² is 84100 and 276² is 76176, therefore the answer to the question "What 2 square numbers subtract to make 7924?" is 84100 and 76176 as illustrated below:

84100 - 76176 = 7924

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 7924. Below we list alternate solutions if available.

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