What 2 square numbers subtract to make 7452?

What two square numbers subtract to make 7452? In other words, when you subtract one square number from another square number, the answer is 7452. 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 = 7452

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

96² - 42² = 7452

96² is 9216 and 42² is 1764, therefore the answer to the question "What 2 square numbers subtract to make 7452?" is 9216 and 1764 as illustrated below:

9216 - 1764 = 7452

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 7452. Below we list alternate solutions if available.

10816 - 3364 = 7452
46656 - 39204 = 7452
389376 - 381924 = 7452

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