What 2 square numbers subtract to make 8900?

What two square numbers subtract to make 8900? In other words, when you subtract one square number from another square number, the answer is 8900. 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 = 8900

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

114² - 64² = 8900

114² is 12996 and 64² is 4096, therefore the answer to the question "What 2 square numbers subtract to make 8900?" is 12996 and 4096 as illustrated below:

12996 - 4096 = 8900

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 8900. Below we list alternate solutions if available.

202500 - 193600 = 8900

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