What 2 square numbers subtract to make 8184?

What two square numbers subtract to make 8184? In other words, when you subtract one square number from another square number, the answer is 8184. 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 = 8184

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

95² - 29² = 8184

95² is 9025 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 8184?" is 9025 and 841 as illustrated below:

9025 - 841 = 8184

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 8184. Below we list alternate solutions if available.

9409 - 1225 = 8184
13225 - 5041 = 8184
38809 - 30625 = 8184

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What 2 square numbers subtract to make 8185?
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