What 2 square numbers subtract to make 8801?

What two square numbers subtract to make 8801? In other words, when you subtract one square number from another square number, the answer is 8801. 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 = 8801

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

345² - 332² = 8801

345² is 119025 and 332² is 110224, therefore the answer to the question "What 2 square numbers subtract to make 8801?" is 119025 and 110224 as illustrated below:

119025 - 110224 = 8801

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 8801. Below we list alternate solutions if available.

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