What 2 square numbers subtract to make 727?

What two square numbers subtract to make 727? In other words, when you subtract one square number from another square number, the answer is 727. 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 = 727

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

364² - 363² = 727

364² is 132496 and 363² is 131769, therefore the answer to the question "What 2 square numbers subtract to make 727?" is 132496 and 131769 as illustrated below:

132496 - 131769 = 727

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 727. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 728?
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