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Okay, so we have "2i times 3i", which can be expressed numerically as:

 

2i * 3i

 

This also equals:

 

(2 * i) * (3 * i)

 

By the associative property:

 

(2 * i) * (3 * i)

2 * i * 3 * i

 

And by the commutative property:

 

2 * 3 * i * i

 

Now, we know what 2 * 3 equals:

 

2 * 3 * i * i

6 * i * i

 

And i = √-1

 

6 * i * i

6 * √-1 * √-1

 

Or:

 

6 * √-1 * √-1

6 * (√-1)^2

 

Square root of negative one is cancelled to form:

 

6 * (√-1)^2

6 * -1

 

Which simply equals -6.