What 2 square numbers subtract to make 496?

What two square numbers subtract to make 496? In other words, when you subtract one square number from another square number, the answer is 496. 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 = 496

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

35² - 27² = 496

35² is 1225 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 496?" is 1225 and 729 as illustrated below:

1225 - 729 = 496

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 496. Below we list alternate solutions if available.

4096 - 3600 = 496
15625 - 15129 = 496

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