What 2 square numbers subtract to make 7296?

What two square numbers subtract to make 7296? In other words, when you subtract one square number from another square number, the answer is 7296. 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 = 7296

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

86² - 10² = 7296

86² is 7396 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 7296?" is 7396 and 100 as illustrated below:

7396 - 100 = 7296

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 7296. Below we list alternate solutions if available.

7921 - 625 = 7296
10000 - 2704 = 7296
13225 - 5929 = 7296

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