What 2 square numbers subtract to make 2420?

What two square numbers subtract to make 2420? In other words, when you subtract one square number from another square number, the answer is 2420. 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 = 2420

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

66² - 44² = 2420

66² is 4356 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 2420?" is 4356 and 1936 as illustrated below:

4356 - 1936 = 2420

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 2420. Below we list alternate solutions if available.

15876 - 13456 = 2420
367236 - 364816 = 2420

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