12-sqrt(-8)
complex number notation

The complex number notation of  12-sqrt(-8) is 12 - 2.828i

Step-by-step explanation:

Given:

12-sqrt(-8)

To Find:

The  complex number notation of 12-sqrt(-8)

Solution:

12-sqrt(-8)  can be

where can be written as

Now using the below radical rule which states that

Then,

=>

=>  -----------------(1)

Also  we know that

---------------------(2)

substituting  (2) in (1)

we get

=>  

=>  

=>  

=> 2.828i

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.