What 2 square numbers subtract to make 4605?

What two square numbers subtract to make 4605? In other words, when you subtract one square number from another square number, the answer is 4605. 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 = 4605

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

161² - 146² = 4605

161² is 25921 and 146² is 21316, therefore the answer to the question "What 2 square numbers subtract to make 4605?" is 25921 and 21316 as illustrated below:

25921 - 21316 = 4605

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 4605. Below we list alternate solutions if available.

214369 - 209764 = 4605
591361 - 586756 = 4605

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