What 2 square numbers subtract to make 9699?

What two square numbers subtract to make 9699? In other words, when you subtract one square number from another square number, the answer is 9699. 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 = 9699

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

110² - 49² = 9699

110² is 12100 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 9699?" is 12100 and 2401 as illustrated below:

12100 - 2401 = 9699

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 9699. Below we list alternate solutions if available.

13924 - 4225 = 9699

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