Question

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

Answer 1

11i

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

Answer 2

Since, by definition,
`i^2=-1`, we deduce that
`√(-1)=i`

So, we have

`2√(-16)+√(-9)=2√(-1\cdot 16)+√(-1\cdot 9)=2+√(-1)√(16)+√(-1)√(9)=2\cdot i\cdot 4+3i=8i+3i=11i`