What 2 square numbers subtract to make 53?


What two square numbers subtract to make 53? In other words, when you subtract one square number from another square number, the answer is 53. 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 = 53

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

272 - 262 = 53

272 is 729 and 262 is 676, therefore the answer to the question "What 2 square numbers subtract to make 53?" is 729 and 676 as illustrated below:

729 - 676 = 53


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 53. Below we list alternate solutions if available.

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