What 2 square numbers subtract to make 465?

What two square numbers subtract to make 465? In other words, when you subtract one square number from another square number, the answer is 465. 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 = 465

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

23² - 8² = 465

23² is 529 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 465?" is 529 and 64 as illustrated below:

529 - 64 = 465

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 465. Below we list alternate solutions if available.

2401 - 1936 = 465
6241 - 5776 = 465
54289 - 53824 = 465

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