What 2 square numbers subtract to make 3345?

What two square numbers subtract to make 3345? In other words, when you subtract one square number from another square number, the answer is 3345. 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 = 3345

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

119² - 104² = 3345

119² is 14161 and 104² is 10816, therefore the answer to the question "What 2 square numbers subtract to make 3345?" is 14161 and 10816 as illustrated below:

14161 - 10816 = 3345

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 3345. Below we list alternate solutions if available.

113569 - 110224 = 3345
312481 - 309136 = 3345

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