What 2 square numbers subtract to make 5532?

What two square numbers subtract to make 5532? In other words, when you subtract one square number from another square number, the answer is 5532. 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 = 5532

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

464² - 458² = 5532

464² is 215296 and 458² is 209764, therefore the answer to the question "What 2 square numbers subtract to make 5532?" is 215296 and 209764 as illustrated below:

215296 - 209764 = 5532

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 5532. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5533?
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