What 2 square numbers subtract to make 1568?

What two square numbers subtract to make 1568? In other words, when you subtract one square number from another square number, the answer is 1568. 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 = 1568

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

42² - 14² = 1568

42² is 1764 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 1568?" is 1764 and 196 as illustrated below:

1764 - 196 = 1568

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 1568. Below we list alternate solutions if available.

3249 - 1681 = 1568
3969 - 2401 = 1568
10404 - 8836 = 1568

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