What 2 square numbers subtract to make 6745?

What two square numbers subtract to make 6745? In other words, when you subtract one square number from another square number, the answer is 6745. 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 = 6745

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

83² - 12² = 6745

83² is 6889 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 6745?" is 6889 and 144 as illustrated below:

6889 - 144 = 6745

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 6745. Below we list alternate solutions if available.

34969 - 28224 = 6745
458329 - 451584 = 6745

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