What 2 square numbers subtract to make 4689?

What two square numbers subtract to make 4689? In other words, when you subtract one square number from another square number, the answer is 4689. 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 = 4689

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

265² - 256² = 4689

265² is 70225 and 256² is 65536, therefore the answer to the question "What 2 square numbers subtract to make 4689?" is 70225 and 65536 as illustrated below:

70225 - 65536 = 4689

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 4689. Below we list alternate solutions if available.

613089 - 608400 = 4689

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