Find the product of 12−−√ and 5/6. What type of number is it?

Answer 1

To find the product, we multiply 12−−√ by 5/6.

(12−−√)(5/6) can be written as (12√(−1))(5/6).

We can simplify this expression by rewriting √(−1) as "i", where i represents the imaginary unit.

So, (12−−√)(5/6) becomes (12i)(5/6).

To multiply complex numbers, we multiply the real parts and the imaginary parts separately.

In this case, the real parts are 12 and 5/6, and the imaginary parts are i.

Multiplying the real parts gives us (12)(5/6) = 60/6 = 10.

Multiplying the imaginary parts gives us i.

Therefore, the product of 12−−√ and 5/6 is 10i.

So, the product is a complex number.