What 2 square numbers subtract to make 424?

What two square numbers subtract to make 424? In other words, when you subtract one square number from another square number, the answer is 424. 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 = 424

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

55² - 51² = 424

55² is 3025 and 51² is 2601, therefore the answer to the question "What 2 square numbers subtract to make 424?" is 3025 and 2601 as illustrated below:

3025 - 2601 = 424

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 424. Below we list alternate solutions if available.

11449 - 11025 = 424

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