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2 October, 22:34

Evaluate the radical.

3√64

+5
Answers (2)
  1. 2 October, 22:56
    0
    4

    Step-by-step explanation:

    We want the cubed root of 64

    (64) ^ (1/3)

    (4*4*4) ^ (1/3)

    4

    Unless this is 3 * sqrt (64)

    then it would be

    3 sqrt (8*8)

    3 (8)

    24
  2. 2 October, 23:04
    0
    Step-by-step explanation:

    You have to be very careful how you define this term. A radical is any expression containing a √ symbol. which includes things like ∛ or a 5 where the 3 is, o r a 9 where the 3 is. So you must include the 3 in your solution.

    √64 = 8

    3√64 = 3*8 = 24

    The next problem is do you include √64 = - 8 in which case 3√64 = - 24

    I would say not. If you have more than one choice or among your choice is

    -24 and 24 then choose that one.

    There is a bit of ambiguity in this question. If the meaning is ∛64 then ∛64 = ∛ (4*4*4)

    Rule: for every 3 factors that are the same under the ∛ symbol 1 can be taken out and the other 2 can be thrown away.

    The answer is then 4∛1 = 4, You have to decide what the question is really saying
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