What 2 square numbers subtract to make 9725?

What two square numbers subtract to make 9725? In other words, when you subtract one square number from another square number, the answer is 9725. 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 = 9725

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

207² - 182² = 9725

207² is 42849 and 182² is 33124, therefore the answer to the question "What 2 square numbers subtract to make 9725?" is 42849 and 33124 as illustrated below:

42849 - 33124 = 9725

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 9725. Below we list alternate solutions if available.

950625 - 940900 = 9725

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