What 2 square numbers subtract to make 6024?

What two square numbers subtract to make 6024? In other words, when you subtract one square number from another square number, the answer is 6024. 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 = 6024

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

257² - 245² = 6024

257² is 66049 and 245² is 60025, therefore the answer to the question "What 2 square numbers subtract to make 6024?" is 66049 and 60025 as illustrated below:

66049 - 60025 = 6024

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 6024. Below we list alternate solutions if available.

255025 - 249001 = 6024
570025 - 564001 = 6024

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What 2 square numbers subtract to make 6025?
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