What 2 square numbers subtract to make 1088?

What two square numbers subtract to make 1088? In other words, when you subtract one square number from another square number, the answer is 1088. 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 = 1088

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

33² - 1² = 1088

33² is 1089 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1088?" is 1089 and 1 as illustrated below:

1089 - 1 = 1088

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 1088. Below we list alternate solutions if available.

1764 - 676 = 1088
5184 - 4096 = 1088
19044 - 17956 = 1088

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What 2 square numbers subtract to make 1089?
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