What 2 square numbers subtract to make 4749?

What two square numbers subtract to make 4749? In other words, when you subtract one square number from another square number, the answer is 4749. 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 = 4749

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

793² - 790² = 4749

793² is 628849 and 790² is 624100, therefore the answer to the question "What 2 square numbers subtract to make 4749?" is 628849 and 624100 as illustrated below:

628849 - 624100 = 4749

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 4749. Below we list alternate solutions if available.

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