What 2 square numbers subtract to make 4953?

What two square numbers subtract to make 4953? In other words, when you subtract one square number from another square number, the answer is 4953. 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 = 4953

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

83² - 44² = 4953

83² is 6889 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 4953?" is 6889 and 1936 as illustrated below:

6889 - 1936 = 4953

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 4953. Below we list alternate solutions if available.

38809 - 33856 = 4953
683929 - 678976 = 4953

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