What 2 square numbers subtract to make 4420?

What two square numbers subtract to make 4420? In other words, when you subtract one square number from another square number, the answer is 4420. 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 = 4420

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

82² - 48² = 4420

82² is 6724 and 48² is 2304, therefore the answer to the question "What 2 square numbers subtract to make 4420?" is 6724 and 2304 as illustrated below:

6724 - 2304 = 4420

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 4420. Below we list alternate solutions if available.

9604 - 5184 = 4420
51076 - 46656 = 4420

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