What 2 square numbers subtract to make 1024?

What two square numbers subtract to make 1024? In other words, when you subtract one square number from another square number, the answer is 1024. 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 = 1024

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

40² - 24² = 1024

40² is 1600 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 1024?" is 1600 and 576 as illustrated below:

1600 - 576 = 1024

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 1024. Below we list alternate solutions if available.

4624 - 3600 = 1024
16900 - 15876 = 1024
66049 - 65025 = 1024

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