What 2 square numbers subtract to make 463?

What two square numbers subtract to make 463? In other words, when you subtract one square number from another square number, the answer is 463. 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 = 463

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

232² - 231² = 463

232² is 53824 and 231² is 53361, therefore the answer to the question "What 2 square numbers subtract to make 463?" is 53824 and 53361 as illustrated below:

53824 - 53361 = 463

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 463. Below we list alternate solutions if available.

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