Question

Please help.
Simplify the expression using imaginary numbers.
2 √ -16 + √ -9

Answer 1

Since, by definition, $i^2=-1$, we deduce that $\sqrt{-1}=i$

So, we have

$2\sqrt{-16}+\sqrt{-9}=2\sqrt{-1\cdot 16}+\sqrt{-1\cdot 9}=2+\sqrt{-1}\sqrt{16}+\sqrt{-1}\sqrt{9}=2\cdot i\cdot 4+3i=8i+3i=11i$

Answer 2

Answer:

11i

Step-by-step explanation:

These roots are imaginary, but let's make it so that i=the square root of -1. simplify the two roots to get 4i and 2i. Multiply the 4i by 2 to get 8i. add them together to get 11i

TL;DR

2x4i+3i

8i+3i

11i