What 2 square numbers subtract to make 7371?

What two square numbers subtract to make 7371? In other words, when you subtract one square number from another square number, the answer is 7371. 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 = 7371

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

86² - 5² = 7371

86² is 7396 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 7371?" is 7396 and 25 as illustrated below:

7396 - 25 = 7371

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 7371. Below we list alternate solutions if available.

8100 - 729 = 7371
12996 - 5625 = 7371
22500 - 15129 = 7371

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