What 2 square numbers subtract to make 1705?

What two square numbers subtract to make 1705? In other words, when you subtract one square number from another square number, the answer is 1705. 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 = 1705

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

43² - 12² = 1705

43² is 1849 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 1705?" is 1849 and 144 as illustrated below:

1849 - 144 = 1705

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 1705. Below we list alternate solutions if available.

6889 - 5184 = 1705
29929 - 28224 = 1705
727609 - 725904 = 1705

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