What 2 square numbers subtract to make 4705?

What two square numbers subtract to make 4705? In other words, when you subtract one square number from another square number, the answer is 4705. 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 = 4705

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

473² - 468² = 4705

473² is 223729 and 468² is 219024, therefore the answer to the question "What 2 square numbers subtract to make 4705?" is 223729 and 219024 as illustrated below:

223729 - 219024 = 4705

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 4705. Below we list alternate solutions if available.

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