What 2 square numbers subtract to make 1645?

What two square numbers subtract to make 1645? In other words, when you subtract one square number from another square number, the answer is 1645. 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 = 1645

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

41² - 6² = 1645

41² is 1681 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 1645?" is 1681 and 36 as illustrated below:

1681 - 36 = 1645

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 1645. Below we list alternate solutions if available.

14641 - 12996 = 1645
27889 - 26244 = 1645
677329 - 675684 = 1645

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