What 2 square numbers subtract to make 9801?


What two square numbers subtract to make 9801? In other words, when you subtract one square number from another square number, the answer is 9801. 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 = 9801

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

1012 - 202 = 9801

1012 is 10201 and 202 is 400, therefore the answer to the question "What 2 square numbers subtract to make 9801?" is 10201 and 400 as illustrated below:

10201 - 400 = 9801


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 9801. Below we list alternate solutions if available.

27225 - 17424 = 9801
38025 - 28224 = 9801
203401 - 193600 = 9801

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