What 2 square numbers subtract to make 4629?

What two square numbers subtract to make 4629? In other words, when you subtract one square number from another square number, the answer is 4629. 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 = 4629

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

773² - 770² = 4629

773² is 597529 and 770² is 592900, therefore the answer to the question "What 2 square numbers subtract to make 4629?" is 597529 and 592900 as illustrated below:

597529 - 592900 = 4629

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 4629. Below we list alternate solutions if available.

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