Answer : The correct option is
(C) 12+3i.
Step-by-step explanation: We are given to simplify the following expression :
"3 times the square root of 16 plus the square root of negative 9".
We will be using the following imaginary number i (iota) :
[tex]i=\sqrt{-1}.[/tex]
Mathematically, the given expression can be written as :
[tex]E\\\\=3\times\sqrt{16}+\sqrt{-9}\\\\=3\times\sqrt{4^2}+\sqrt{9}\sqrt{-1}\\\\=3\times4+3\times i\\\\=12+3i.[/tex]
Thus, the required simplified number is 12+3i.
Option (C) is CORRECT.
