What 2 square numbers subtract to make 7432?

What two square numbers subtract to make 7432? In other words, when you subtract one square number from another square number, the answer is 7432. 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 = 7432

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

931² - 927² = 7432

931² is 866761 and 927² is 859329, therefore the answer to the question "What 2 square numbers subtract to make 7432?" is 866761 and 859329 as illustrated below:

866761 - 859329 = 7432

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 7432. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7433?
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