What 2 square numbers subtract to make 420?

What two square numbers subtract to make 420? In other words, when you subtract one square number from another square number, the answer is 420. 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 = 420

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

22² - 8² = 420

22² is 484 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 420?" is 484 and 64 as illustrated below:

484 - 64 = 420

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 420. Below we list alternate solutions if available.

676 - 256 = 420
1444 - 1024 = 420
11236 - 10816 = 420

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