What 2 square numbers subtract to make 1657?

What two square numbers subtract to make 1657? In other words, when you subtract one square number from another square number, the answer is 1657. 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 = 1657

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

829² - 828² = 1657

829² is 687241 and 828² is 685584, therefore the answer to the question "What 2 square numbers subtract to make 1657?" is 687241 and 685584 as illustrated below:

687241 - 685584 = 1657

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 1657. Below we list alternate solutions if available.

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