Question

`√(-16) -√(-3) √(-3) -√(-4) √(-4) +3i-3i^(2) +3i^3`

Answer 1

4(i-1)

Explanation:

Given the expression
`√(-16) - √(-3) √(-3) -√(-4) √(-4)+3i-3i^(2) +3i^(3)`

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)