Question

question 17 of 40
simplify the following expression:
$4 + \sqrt{-4} + \sqrt{-9} + 7$

a. $16 + 0i$
b. $11 + \sqrt{13i}$
c. $11 + 5i$
d. $5 - 11i$

Explanation:

Step1: Calculate real parts

$4 + 7 = 11$

Step2: Simplify imaginary parts

$\sqrt{-4} = 2i$, $\sqrt{-9} = 3i$; $2i + 3i = 5i$

Step3: Combine real and imaginary parts

$11 + 5i$

Answer:

C. 11 + 5i