Seudónimo
Seudónimo
03-11-2017
Mathematics
contestada
Simplify √-48
Choices:
-4√3
4√-3
4i√3
4√3i
Respuesta :
jimthompson5910
jimthompson5910
03-11-2017
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
Answer Link
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