What 2 square numbers subtract to make 892?

What two square numbers subtract to make 892? In other words, when you subtract one square number from another square number, the answer is 892. 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 = 892

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

224² - 222² = 892

224² is 50176 and 222² is 49284, therefore the answer to the question "What 2 square numbers subtract to make 892?" is 50176 and 49284 as illustrated below:

50176 - 49284 = 892

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 892. Below we list alternate solutions if available.

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