What 2 square numbers subtract to make 6705?

What two square numbers subtract to make 6705? In other words, when you subtract one square number from another square number, the answer is 6705. 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 = 6705

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

97² - 52² = 6705

97² is 9409 and 52² is 2704, therefore the answer to the question "What 2 square numbers subtract to make 6705?" is 9409 and 2704 as illustrated below:

9409 - 2704 = 6705

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 6705. Below we list alternate solutions if available.

53361 - 46656 = 6705
142129 - 135424 = 6705
452929 - 446224 = 6705

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