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ioda
4 years ago
5

Evaluate the radical. 3√64

Mathematics
2 answers:
Darina [25.2K]4 years ago
7 0

Answer:

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

Ainat [17]4 years ago
3 0

Answer:


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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