What 2 square numbers subtract to make 140?

What two square numbers subtract to make 140? In other words, when you subtract one square number from another square number, the answer is 140. 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 = 140

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

12² - 2² = 140

12² is 144 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 140?" is 144 and 4 as illustrated below:

144 - 4 = 140

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 140. Below we list alternate solutions if available.

1296 - 1156 = 140

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