What 2 square numbers subtract to make 7225?

What two square numbers subtract to make 7225? In other words, when you subtract one square number from another square number, the answer is 7225. 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 = 7225

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

157² - 132² = 7225

157² is 24649 and 132² is 17424, therefore the answer to the question "What 2 square numbers subtract to make 7225?" is 24649 and 17424 as illustrated below:

24649 - 17424 = 7225

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 7225. Below we list alternate solutions if available.

48841 - 41616 = 7225
525625 - 518400 = 7225

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