What 2 square numbers subtract to make 459?

What two square numbers subtract to make 459? In other words, when you subtract one square number from another square number, the answer is 459. 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 = 459

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

22² - 5² = 459

22² is 484 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 459?" is 484 and 25 as illustrated below:

484 - 25 = 459

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 459. Below we list alternate solutions if available.

900 - 441 = 459
6084 - 5625 = 459
52900 - 52441 = 459

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