What 2 square numbers subtract to make 1684?

What two square numbers subtract to make 1684? In other words, when you subtract one square number from another square number, the answer is 1684. 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 = 1684

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

422² - 420² = 1684

422² is 178084 and 420² is 176400, therefore the answer to the question "What 2 square numbers subtract to make 1684?" is 178084 and 176400 as illustrated below:

178084 - 176400 = 1684

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 1684. Below we list alternate solutions if available.

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