What 2 square numbers subtract to make 7235?

What two square numbers subtract to make 7235? In other words, when you subtract one square number from another square number, the answer is 7235. 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 = 7235

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

726² - 721² = 7235

726² is 527076 and 721² is 519841, therefore the answer to the question "What 2 square numbers subtract to make 7235?" is 527076 and 519841 as illustrated below:

527076 - 519841 = 7235

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 7235. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7236?
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