Question

Evaluate the radical.

3√64

Answer 1

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

Answer 2

4

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