What 2 square numbers subtract to make 497?

What two square numbers subtract to make 497? In other words, when you subtract one square number from another square number, the answer is 497. 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 = 497

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

39² - 32² = 497

39² is 1521 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 497?" is 1521 and 1024 as illustrated below:

1521 - 1024 = 497

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 497. Below we list alternate solutions if available.

62001 - 61504 = 497

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