What 2 square numbers subtract to make 9372?

What two square numbers subtract to make 9372? In other words, when you subtract one square number from another square number, the answer is 9372. 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 = 9372

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

104² - 38² = 9372

104² is 10816 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 9372?" is 10816 and 1444 as illustrated below:

10816 - 1444 = 9372

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 9372. Below we list alternate solutions if available.

50176 - 40804 = 9372
614656 - 605284 = 9372

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