What 2 square numbers subtract to make 735?


What two square numbers subtract to make 735? In other words, when you subtract one square number from another square number, the answer is 735. 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 = 735

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

282 - 72 = 735

282 is 784 and 72 is 49, therefore the answer to the question "What 2 square numbers subtract to make 735?" is 784 and 49 as illustrated below:

784 - 49 = 735


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 735. Below we list alternate solutions if available.

1024 - 289 = 735
3136 - 2401 = 735
5776 - 5041 = 735

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