What 2 square numbers subtract to make 4952?

What two square numbers subtract to make 4952? In other words, when you subtract one square number from another square number, the answer is 4952. 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 = 4952

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

621² - 617² = 4952

621² is 385641 and 617² is 380689, therefore the answer to the question "What 2 square numbers subtract to make 4952?" is 385641 and 380689 as illustrated below:

385641 - 380689 = 4952

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 4952. Below we list alternate solutions if available.

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