What 2 square numbers subtract to make 165?

What two square numbers subtract to make 165? In other words, when you subtract one square number from another square number, the answer is 165. 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 = 165

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

13² - 2² = 165

13² is 169 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 165?" is 169 and 4 as illustrated below:

169 - 4 = 165

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 165. Below we list alternate solutions if available.

361 - 196 = 165
841 - 676 = 165
6889 - 6724 = 165

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What 2 square numbers subtract to make 166?
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