What 2 square numbers subtract to make 723?

What two square numbers subtract to make 723? In other words, when you subtract one square number from another square number, the answer is 723. 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 = 723

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

122² - 119² = 723

122² is 14884 and 119² is 14161, therefore the answer to the question "What 2 square numbers subtract to make 723?" is 14884 and 14161 as illustrated below:

14884 - 14161 = 723

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 723. Below we list alternate solutions if available.

131044 - 130321 = 723

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