What 2 square numbers subtract to make 2428?

What two square numbers subtract to make 2428? In other words, when you subtract one square number from another square number, the answer is 2428. 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 = 2428

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

608² - 606² = 2428

608² is 369664 and 606² is 367236, therefore the answer to the question "What 2 square numbers subtract to make 2428?" is 369664 and 367236 as illustrated below:

369664 - 367236 = 2428

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 2428. Below we list alternate solutions if available.

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