What 2 square numbers subtract to make 729?

What two square numbers subtract to make 729? In other words, when you subtract one square number from another square number, the answer is 729. 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 = 729

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

45² - 36² = 729

45² is 2025 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 729?" is 2025 and 1296 as illustrated below:

2025 - 1296 = 729

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 729. Below we list alternate solutions if available.

15129 - 14400 = 729
133225 - 132496 = 729

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