What 2 square numbers subtract to make 1452?

What two square numbers subtract to make 1452? In other words, when you subtract one square number from another square number, the answer is 1452. 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 = 1452

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

44² - 22² = 1452

44² is 1936 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 1452?" is 1936 and 484 as illustrated below:

1936 - 484 = 1452

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 1452. Below we list alternate solutions if available.

15376 - 13924 = 1452
132496 - 131044 = 1452

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