What 2 square numbers subtract to make 1464?


What two square numbers subtract to make 1464? In other words, when you subtract one square number from another square number, the answer is 1464. 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 = 1464

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

672 - 552 = 1464

672 is 4489 and 552 is 3025, therefore the answer to the question "What 2 square numbers subtract to make 1464?" is 4489 and 3025 as illustrated below:

4489 - 3025 = 1464


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 1464. Below we list alternate solutions if available.

15625 - 14161 = 1464
34225 - 32761 = 1464
134689 - 133225 = 1464

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