What 2 square numbers subtract to make 4972?

What two square numbers subtract to make 4972? In other words, when you subtract one square number from another square number, the answer is 4972. 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 = 4972

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

124² - 102² = 4972

124² is 15376 and 102² is 10404, therefore the answer to the question "What 2 square numbers subtract to make 4972?" is 15376 and 10404 as illustrated below:

15376 - 10404 = 4972

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 4972. Below we list alternate solutions if available.

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