What 2 square numbers subtract to make 3824?

What two square numbers subtract to make 3824? In other words, when you subtract one square number from another square number, the answer is 3824. 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 = 3824

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

243² - 235² = 3824

243² is 59049 and 235² is 55225, therefore the answer to the question "What 2 square numbers subtract to make 3824?" is 59049 and 55225 as illustrated below:

59049 - 55225 = 3824

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 3824. Below we list alternate solutions if available.

230400 - 226576 = 3824
915849 - 912025 = 3824

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What 2 square numbers subtract to make 3825?
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