What 2 square numbers subtract to make 7540?

What two square numbers subtract to make 7540? In other words, when you subtract one square number from another square number, the answer is 7540. 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 = 7540

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

94² - 36² = 7540

94² is 8836 and 36² is 1296, therefore the answer to the question "What 2 square numbers subtract to make 7540?" is 8836 and 1296 as illustrated below:

8836 - 1296 = 7540

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 7540. Below we list alternate solutions if available.

24964 - 17424 = 7540
145924 - 138384 = 7540

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