What 2 square numbers subtract to make 100?

What two square numbers subtract to make 100? In other words, when you subtract one square number from another square number, the answer is 100. 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 = 100

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

26² - 24² = 100

26² is 676 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 100?" is 676 and 576 as illustrated below:

676 - 576 = 100

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 100. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 101?
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