What 2 square numbers subtract to make 8224?


What two square numbers subtract to make 8224? In other words, when you subtract one square number from another square number, the answer is 8224. 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 = 8224

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

2652 - 2492 = 8224

2652 is 70225 and 2492 is 62001, therefore the answer to the question "What 2 square numbers subtract to make 8224?" is 70225 and 62001 as illustrated below:

70225 - 62001 = 8224


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 8224. Below we list alternate solutions if available.

268324 - 260100 = 8224

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