Respuesta :

musiclover10045

Rewrite -12 as -1 * -12

√(-1 * -12)

Rewrite with 2 terms:

√-1 * √-12

√-1 = i

i * √-12

rewrite -12 as 2^2 *3

i  * √2^2*3

Pull terms out from radical:

i * 2√3

Simplify:

2i√3

wegnerkolmp2741o

Answer:

The principal square root is 2i sqrt(3)

Step-by-step explanation:

sqrt(-12)

sqrt(-1) sqrt(12)

sqrt(-1) =± i

±i sqrt(12)

±i sqrt(4)sqrt(3)

±i 2sqrt(3)

±2i sqrt(3)

The principal square root is 2i sqrt(3)