What 2 square numbers subtract to make 9800?

What two square numbers subtract to make 9800? In other words, when you subtract one square number from another square number, the answer is 9800. 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 = 9800

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

99² - 1² = 9800

99² is 9801 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 9800?" is 9801 and 1 as illustrated below:

9801 - 1 = 9800

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 9800. Below we list alternate solutions if available.

11025 - 1225 = 9800
15129 - 5329 = 9800
35721 - 25921 = 9800

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What 2 square numbers subtract to make 9801?
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