What 2 square numbers subtract to make 3749?

What two square numbers subtract to make 3749? In other words, when you subtract one square number from another square number, the answer is 3749. 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 = 3749

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

93² - 70² = 3749

93² is 8649 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 3749?" is 8649 and 4900 as illustrated below:

8649 - 4900 = 3749

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 3749. Below we list alternate solutions if available.

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