What 2 square numbers subtract to make 2052?

What two square numbers subtract to make 2052? In other words, when you subtract one square number from another square number, the answer is 2052. 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 = 2052

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

46² - 8² = 2052

46² is 2116 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 2052?" is 2116 and 64 as illustrated below:

2116 - 64 = 2052

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 2052. Below we list alternate solutions if available.

4356 - 2304 = 2052
30276 - 28224 = 2052
264196 - 262144 = 2052

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