What 2 square numbers subtract to make 9705?


What two square numbers subtract to make 9705? In other words, when you subtract one square number from another square number, the answer is 9705. 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 = 9705

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

3312 - 3162 = 9705

3312 is 109561 and 3162 is 99856, therefore the answer to the question "What 2 square numbers subtract to make 9705?" is 109561 and 99856 as illustrated below:

109561 - 99856 = 9705


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 9705. Below we list alternate solutions if available.

946729 - 937024 = 9705

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