Simplify √-48

Choices:

-4√3

4√-3

4i√3

4√3i

In terms of notation "sqrt (-48) " means " square root of - 48 "

We'll factor and use the rule sqrt (x*y) = sqrt (x) * sqrt (y) to simplify this expression

sqrt (-48) = sqrt (-1*48)

sqrt (-48) = sqrt (-1) * sqrt (48) ... using rule mentioned above

sqrt (-48) = i*sqrt (48) ... use i = sqrt (-1)

sqrt (-48) = i*sqrt (16*3) ... factor

sqrt (-48) = i*sqrt (16) * sqrt (3) ... using rule mentioned above

sqrt (-48) = i*4*sqrt (3) ... Simplify

sqrt (-48) = 4i*sqrt (3) ... Rearrange terms

The final answer is 4i*sqrt (3), which is choice C