What 2 square numbers subtract to make 144?


What two square numbers subtract to make 144? In other words, when you subtract one square number from another square number, the answer is 144. 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 = 144

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

132 - 52 = 144

132 is 169 and 52 is 25, therefore the answer to the question "What 2 square numbers subtract to make 144?" is 169 and 25 as illustrated below:

169 - 25 = 144


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 144. Below we list alternate solutions if available.

225 - 81 = 144
400 - 256 = 144
1369 - 1225 = 144

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