What 2 square numbers subtract to make 2600?

What two square numbers subtract to make 2600? In other words, when you subtract one square number from another square number, the answer is 2600. 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 = 2600

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

51² - 1² = 2600

51² is 2601 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 2600?" is 2601 and 1 as illustrated below:

2601 - 1 = 2600

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 2600. Below we list alternate solutions if available.

3969 - 1369 = 2600
5625 - 3025 = 2600
18225 - 15625 = 2600

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What 2 square numbers subtract to make 2601?
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