What 2 square numbers subtract to make 1520?

What two square numbers subtract to make 1520? In other words, when you subtract one square number from another square number, the answer is 1520. 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 = 1520

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

39² - 1² = 1520

39² is 1521 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1520?" is 1521 and 1 as illustrated below:

1521 - 1 = 1520

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 1520. Below we list alternate solutions if available.

2304 - 784 = 1520
6561 - 5041 = 1520
9801 - 8281 = 1520

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What 2 square numbers subtract to make 1521?
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