What 2 square numbers subtract to make 1693?

What two square numbers subtract to make 1693? In other words, when you subtract one square number from another square number, the answer is 1693. 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 = 1693

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

847² - 846² = 1693

847² is 717409 and 846² is 715716, therefore the answer to the question "What 2 square numbers subtract to make 1693?" is 717409 and 715716 as illustrated below:

717409 - 715716 = 1693

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 1693. Below we list alternate solutions if available.

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