What 2 square numbers subtract to make 1560?

What two square numbers subtract to make 1560? In other words, when you subtract one square number from another square number, the answer is 1560. 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 = 1560

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

41² - 11² = 1560

41² is 1681 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 1560?" is 1681 and 121 as illustrated below:

1681 - 121 = 1560

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 1560. Below we list alternate solutions if available.

1849 - 289 = 1560
2401 - 841 = 1560
5041 - 3481 = 1560

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