What 2 square numbers subtract to make 4323?

What two square numbers subtract to make 4323? In other words, when you subtract one square number from another square number, the answer is 4323. 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 = 4323

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

82² - 49² = 4323

82² is 6724 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 4323?" is 6724 and 2401 as illustrated below:

6724 - 2401 = 4323

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 4323. Below we list alternate solutions if available.

40804 - 36481 = 4323
521284 - 516961 = 4323

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