Question

Simplify square root of negative 48.

a) negative 4 square root of 3
b) 4 square root of negative 3
c) 4 i square root of 3
d) 4 square root of 3 i

Answer 1

C. 4 i square root of 3

Explanation:

Answer 2

We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore

`√(-48) = \sqrt{i^(2).16.3} = \sqrt{i^(2)} √(16) √(3) =4i √(3)`

Answer: c.
`4i √(3)`