What 2 square numbers subtract to make 3395?

What two square numbers subtract to make 3395? In other words, when you subtract one square number from another square number, the answer is 3395. 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 = 3395

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

66² - 31² = 3395

66² is 4356 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 3395?" is 4356 and 961 as illustrated below:

4356 - 961 = 3395

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 3395. Below we list alternate solutions if available.

60516 - 57121 = 3395
116964 - 113569 = 3395

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