What 2 square numbers subtract to make 5232?

What two square numbers subtract to make 5232? In other words, when you subtract one square number from another square number, the answer is 5232. 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 = 5232

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

121² - 97² = 5232

121² is 14641 and 97² is 9409, therefore the answer to the question "What 2 square numbers subtract to make 5232?" is 14641 and 9409 as illustrated below:

14641 - 9409 = 5232

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 5232. Below we list alternate solutions if available.

50176 - 44944 = 5232
109561 - 104329 = 5232
192721 - 187489 = 5232

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