What 2 square numbers subtract to make 9945?

What two square numbers subtract to make 9945? In other words, when you subtract one square number from another square number, the answer is 9945. 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 = 9945

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

101² - 16² = 9945

101² is 10201 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 9945?" is 10201 and 256 as illustrated below:

10201 - 256 = 9945

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 9945. Below we list alternate solutions if available.

11881 - 1936 = 9945
15129 - 5184 = 9945
17689 - 7744 = 9945

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