What 2 square numbers subtract to make 2072?

What two square numbers subtract to make 2072? In other words, when you subtract one square number from another square number, the answer is 2072. 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 = 2072

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

51² - 23² = 2072

51² is 2601 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 2072?" is 2601 and 529 as illustrated below:

2601 - 529 = 2072

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 2072. Below we list alternate solutions if available.

6561 - 4489 = 2072
68121 - 66049 = 2072
269361 - 267289 = 2072

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