Why is the square root of two negative radicals multiplied not equal to that multiplication?

In general, complex numbers are treated specially because they are the a squared number that is equal to a negative number. This isn't possible in traditional math because a positive times a positive and a negative times a negative both produce a positive.
This property is true.

This property is also true.

We also know that . The problem comes when you mix these two properties together. Lets solve each one practically and see what happens.
This is straight forward, plug and chug:

This one takes some more work, but still comes out to a simple answer.



The problem is we have two different answers for the same definition. This contradiction is why complex number notation was created.
is how is written typically with the 6 part being the six from the radical and the i being .
From this, we can multiply and to find the answer to your question.