What 2 square numbers subtract to make 772?

What two square numbers subtract to make 772? In other words, when you subtract one square number from another square number, the answer is 772. 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 = 772

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

194² - 192² = 772

194² is 37636 and 192² is 36864, therefore the answer to the question "What 2 square numbers subtract to make 772?" is 37636 and 36864 as illustrated below:

37636 - 36864 = 772

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 772. Below we list alternate solutions if available.

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