What 2 square numbers subtract to make 1480?

What two square numbers subtract to make 1480? In other words, when you subtract one square number from another square number, the answer is 1480. 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 = 1480

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

47² - 27² = 1480

47² is 2209 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 1480?" is 2209 and 729 as illustrated below:

2209 - 729 = 1480

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 1480. Below we list alternate solutions if available.

6241 - 4761 = 1480
34969 - 33489 = 1480
137641 - 136161 = 1480

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