What 2 square numbers subtract to make 135?

What two square numbers subtract to make 135? In other words, when you subtract one square number from another square number, the answer is 135. 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 = 135

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

12² - 3² = 135

12² is 144 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 135?" is 144 and 9 as illustrated below:

144 - 9 = 135

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 135. Below we list alternate solutions if available.

256 - 121 = 135
576 - 441 = 135
4624 - 4489 = 135

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