What 2 square numbers subtract to make 1617?

What two square numbers subtract to make 1617? In other words, when you subtract one square number from another square number, the answer is 1617. 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 = 1617

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

41² - 8² = 1617

41² is 1681 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 1617?" is 1681 and 64 as illustrated below:

1681 - 64 = 1617

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 1617. Below we list alternate solutions if available.

2401 - 784 = 1617
6241 - 4624 = 1617
14161 - 12544 = 1617

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