The expression in the image is:

$\left( \sqrt{8} \right)^{1/3}$

Let's break this down step by step:

1. First, calculate $\sqrt{8}$, which is the square root of 8. This equals: $\sqrt{8} = 2\sqrt{2} \approx 2.828$

2. Next, we need to take the cube root (or raise it to the power $1/3$) of this value: $(2\sqrt{2})^{1/3} \approx 2.828^{1/3} \approx 1.414$

Therefore, the value of $\left( \sqrt{8} \right)^{1/3}$ is approximately 1.414.

Would you like to explore more about roots and exponents?

Here are some related questions to consider:

1. What is the cube root of 27?
2. How do you calculate the fourth root of a number?
3. What is the cube root of a fraction like $\frac{1}{8}$?
4. What is the square root of $32$ in simplified radical form?
5. How would the expression change if the base was a cube instead of a square root?

Tip: Always simplify the expression inside the root or exponent before calculating to make the process easier!