What 2 square numbers subtract to make 3420?

What two square numbers subtract to make 3420? In other words, when you subtract one square number from another square number, the answer is 3420. 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 = 3420

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

64² - 26² = 3420

64² is 4096 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 3420?" is 4096 and 676 as illustrated below:

4096 - 676 = 3420

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 3420. Below we list alternate solutions if available.

5184 - 1764 = 3420
10816 - 7396 = 3420
30976 - 27556 = 3420

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