What 2 square numbers subtract to make 705?

What two square numbers subtract to make 705? In other words, when you subtract one square number from another square number, the answer is 705. 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 = 705

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

31² - 16² = 705

31² is 961 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 705?" is 961 and 256 as illustrated below:

961 - 256 = 705

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 705. Below we list alternate solutions if available.

5329 - 4624 = 705
14161 - 13456 = 705
124609 - 123904 = 705

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