https://file.aiquickdraw.com/mathbot/file/1728624104159jlf4a754.jpg

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!

Learn how to calculate the expression (√8)^(1/3). This problem involves radicals and cube roots, utilizing key exponent rules. Follow a step-by-step solution to find that the value of (√8)^(1/3) is approximately 1.414. Suitable for students in Grades 8-10.

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