When multiplying and dividing complex numbers we must take care to understand that the product and quotient rules for radicals require that bath and are positive. In other words, if and are both real numbers then we have the following rules.
Product rule for radicals:
Quotient rule for radicals:
However, when and are both negative the product rule and quotient rule fo radicals fails to get a true statement.
For example, Multiply:
Which of the following two solutions is correct?