What 2 square numbers subtract to make 7228?

What two square numbers subtract to make 7228? In other words, when you subtract one square number from another square number, the answer is 7228. 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 = 7228

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

152² - 126² = 7228

152² is 23104 and 126² is 15876, therefore the answer to the question "What 2 square numbers subtract to make 7228?" is 23104 and 15876 as illustrated below:

23104 - 15876 = 7228

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 7228. Below we list alternate solutions if available.

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