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21 April, 17:38

Simplify √-48

Choices:

-4√3

4√-3

4i√3

4√3i

+4
Answers (1)
  1. 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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