What 2 square numbers subtract to make 2972?

What two square numbers subtract to make 2972? In other words, when you subtract one square number from another square number, the answer is 2972. 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 = 2972

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

744² - 742² = 2972

744² is 553536 and 742² is 550564, therefore the answer to the question "What 2 square numbers subtract to make 2972?" is 553536 and 550564 as illustrated below:

553536 - 550564 = 2972

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 2972. Below we list alternate solutions if available.

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