What 2 square numbers subtract to make 9735?

What two square numbers subtract to make 9735? In other words, when you subtract one square number from another square number, the answer is 9735. 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 = 9735

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

112² - 53² = 9735

112² is 12544 and 53² is 2809, therefore the answer to the question "What 2 square numbers subtract to make 9735?" is 12544 and 2809 as illustrated below:

12544 - 2809 = 9735

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 9735. Below we list alternate solutions if available.

13456 - 3721 = 9735
26896 - 17161 = 9735
110224 - 100489 = 9735

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What 2 square numbers subtract to make 9736?
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