Is the following statement true or false?
If and , then

The statement is false. While it’s true that if and , can be equal to , it can also be . This is because squaring a negative number also results in a positive value. So, in this case, could be either the positive or negative square root of .

Also, remember that when you take the square root, it is always implied to be non-negative in many contexts. However, when dealing with equations like this that come from squaring, both solutions must be considered. So, to clarify: is not the complete solution!