Question

Which of the following is equal to the square root of the cube root of 2?

2 to the power of 2 over 3
2 to the power of 3 over 2
2 to the power of 1 over 3
2 to the power of 1 over 6

Answer 1

So a cube root is equal to ∛, and a square root is equal to √.

A cube root is also equal to x^1/3, and a square root is also equal to x^1/3.

So the square root of the cube root of 2 looks like this.

√(∛(2)).

So it could also be written ((2)^1/3)^1/2)

Now 1/3 times 1/2 equals 1/6.

2^ 1/6

Your final answer is D) 2 to the power of 1 over 6.

Answer 2

Answer: D. 2 to the power of 1 over 6.

All credit to th eperson above.