Question

Which of the following numbers belong to the set of complex numbers AND the set of imaginary numbers? Select all that apply. (3 total)

A. 3i
B. -5i
C. 6-i
D. √21
E. -√16
F. √-14

I believe it's A, B, and C.

Answer 1

A, B, and C and also F because a negative number can't be under radical

Answer 2

Answer with explanation:

A number of the form , Z= A + Bi, is called complex number ,where A is real part ,whose Domain is set of real Numbers and B is called Imaginary part,whose Domain is also set of Real numbers.

i= Iota =Square root of (-1).=√-1.

Also,→ a number of the form ,K i ,is called Imaginary Number.

P= Set of Complex number={3 i, - 5 i, 6 - i,
`i√(14)`}

Q=Set of Imaginary Number= {3 i, - 5 i,
`i√(14)`}

→Following are the Set of complex numbers and Imaginary Numbers, that is ,⇒ P ∩ Q=Common elements of Both P and Q

A: 3 i

B: - 5 i

`F: √(-14)=i√(14)`