What 2 square numbers subtract to make 9724?

What two square numbers subtract to make 9724? In other words, when you subtract one square number from another square number, the answer is 9724. 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 = 9724

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

160² - 126² = 9724

160² is 25600 and 126² is 15876, therefore the answer to the question "What 2 square numbers subtract to make 9724?" is 25600 and 15876 as illustrated below:

25600 - 15876 = 9724

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 9724. Below we list alternate solutions if available.

40000 - 30276 = 9724
53824 - 44100 = 9724

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