What 2 square numbers subtract to make 3748?

What two square numbers subtract to make 3748? In other words, when you subtract one square number from another square number, the answer is 3748. 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 = 3748

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

938² - 936² = 3748

938² is 879844 and 936² is 876096, therefore the answer to the question "What 2 square numbers subtract to make 3748?" is 879844 and 876096 as illustrated below:

879844 - 876096 = 3748

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 3748. Below we list alternate solutions if available.

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