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Chyna
Mathematics
21 April, 17:38
Simplify √-48
Choices:
-4√3
4√-3
4i√3
4√3i
+4
Answers (
1
)
Morgan Roach
21 April, 17:50
0
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
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