the question is: [(.000064)^1/3]^1/2

cynthiap wrote:

Thank you all for your answers and information but the question is:

Which of the following is the value of \sqrt{[square_root]3}[/square_root]0.000064?

I'm not able to get the sign right but it has (2) square roots for the number, does that make sense and actually the answer is (E) which is 0.2. I need some help how they got this answer??

Thank you!!

No it doesn't make sense. The outer operation is a square root operation and the inner operator is a cube root.

You really have to learn these basic operations.

They first found the cube root of .000064.

An easy way to write this is 64*10^-6 as most of us are more comfortable with integers than with fractions.

The cube root of (64*10^-6) can be written as (64*10^-6)^1/3 which solves into (64^1/3)*(10^-6)^1/3

or 4*10^-2 (i)

The next step is to take the square root of the (i)

that can be written as (4*10^-2)^1/2

or (4^1/2)*(10^-2)^1/2

or 2^10^-1

or 0.2

Hence E

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