What 2 square numbers subtract to make 9772?

What two square numbers subtract to make 9772? In other words, when you subtract one square number from another square number, the answer is 9772. 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 = 9772

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

356² - 342² = 9772

356² is 126736 and 342² is 116964, therefore the answer to the question "What 2 square numbers subtract to make 9772?" is 126736 and 116964 as illustrated below:

126736 - 116964 = 9772

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 9772. Below we list alternate solutions if available.

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