What 2 square numbers subtract to make 1628?

What two square numbers subtract to make 1628? In other words, when you subtract one square number from another square number, the answer is 1628. 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 = 1628

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

48² - 26² = 1628

48² is 2304 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 1628?" is 2304 and 676 as illustrated below:

2304 - 676 = 1628

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 1628. Below we list alternate solutions if available.

166464 - 164836 = 1628

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