Respuesta :

Answer:

-89 +4i sqrt (3)

Step-by-step explanation:

sqrt(-48) - 89

sqrt(-1) sqrt(48) - 89

We know that sqrt(-1) = ±i

±i sqrt(48) - 89

±i sqrt(16)sqrt(3) - 89

±4i sqrt(3) - 89

Taking the principal square root

-89 +4i sqrt (3)

Rewrite √-48 as √-1 * √48

Rewrite √48 as √4^2*3

Pull terms out from under radical to get 4√3

Multiply i by 4 to get 4i√3

Final answer = -89 + 4i√3