What 2 square numbers subtract to make 1453?


What two square numbers subtract to make 1453? In other words, when you subtract one square number from another square number, the answer is 1453. 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 = 1453

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

7272 - 7262 = 1453

7272 is 528529 and 7262 is 527076, therefore the answer to the question "What 2 square numbers subtract to make 1453?" is 528529 and 527076 as illustrated below:

528529 - 527076 = 1453


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 1453. Below we list alternate solutions if available.

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