What 2 square numbers subtract to make 7488?

What two square numbers subtract to make 7488? In other words, when you subtract one square number from another square number, the answer is 7488. 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 = 7488

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

87² - 9² = 7488

87² is 7569 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 7488?" is 7569 and 81 as illustrated below:

7569 - 81 = 7488

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 7488. Below we list alternate solutions if available.

7744 - 256 = 7488
9604 - 2116 = 7488
10404 - 2916 = 7488

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