What 2 square numbers subtract to make 195?

What two square numbers subtract to make 195? In other words, when you subtract one square number from another square number, the answer is 195. 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 = 195

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

14² - 1² = 195

14² is 196 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 195?" is 196 and 1 as illustrated below:

196 - 1 = 195

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 195. Below we list alternate solutions if available.

484 - 289 = 195
1156 - 961 = 195
9604 - 9409 = 195

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