What 2 square numbers subtract to make 7743?

What two square numbers subtract to make 7743? In other words, when you subtract one square number from another square number, the answer is 7743. 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 = 7743

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

88² - 1² = 7743

88² is 7744 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 7743?" is 7744 and 1 as illustrated below:

7744 - 1 = 7743

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 7743. Below we list alternate solutions if available.

21904 - 14161 = 7743

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