What 2 square numbers subtract to make 1656?

What two square numbers subtract to make 1656? In other words, when you subtract one square number from another square number, the answer is 1656. 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 = 1656

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

41² - 5² = 1656

41² is 1681 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 1656?" is 1681 and 25 as illustrated below:

1681 - 25 = 1656

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 1656. Below we list alternate solutions if available.

3025 - 1369 = 1656
5625 - 3969 = 1656
19881 - 18225 = 1656

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What 2 square numbers subtract to make 1657?
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