What 2 square numbers subtract to make 2705?

What two square numbers subtract to make 2705? In other words, when you subtract one square number from another square number, the answer is 2705. 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 = 2705

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

273² - 268² = 2705

273² is 74529 and 268² is 71824, therefore the answer to the question "What 2 square numbers subtract to make 2705?" is 74529 and 71824 as illustrated below:

74529 - 71824 = 2705

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 2705. Below we list alternate solutions if available.

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