What 2 square numbers subtract to make 7100?

What two square numbers subtract to make 7100? In other words, when you subtract one square number from another square number, the answer is 7100. 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 = 7100

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

96² - 46² = 7100

96² is 9216 and 46² is 2116, therefore the answer to the question "What 2 square numbers subtract to make 7100?" is 9216 and 2116 as illustrated below:

9216 - 2116 = 7100

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 7100. Below we list alternate solutions if available.

129600 - 122500 = 7100

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