What 2 square numbers subtract to make 1972?

What two square numbers subtract to make 1972? In other words, when you subtract one square number from another square number, the answer is 1972. 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 = 1972

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

46² - 12² = 1972

46² is 2116 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 1972?" is 2116 and 144 as illustrated below:

2116 - 144 = 1972

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 1972. Below we list alternate solutions if available.

244036 - 242064 = 1972

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