What 2 square numbers subtract to make 9807?

What two square numbers subtract to make 9807? In other words, when you subtract one square number from another square number, the answer is 9807. 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 = 9807

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

244² - 223² = 9807

244² is 59536 and 223² is 49729, therefore the answer to the question "What 2 square numbers subtract to make 9807?" is 59536 and 49729 as illustrated below:

59536 - 49729 = 9807

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 9807. Below we list alternate solutions if available.

495616 - 485809 = 9807

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