What 2 square numbers subtract to make 1200?

What two square numbers subtract to make 1200? In other words, when you subtract one square number from another square number, the answer is 1200. 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 = 1200

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

35² - 5² = 1200

35² is 1225 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 1200?" is 1225 and 25 as illustrated below:

1225 - 25 = 1200

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 1200. Below we list alternate solutions if available.

1369 - 169 = 1200
1600 - 400 = 1200
3136 - 1936 = 1200

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