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Evaluate the expression:

[tex]\[ \sqrt[3]{\frac{8}{27}} = \][/tex]

Sagot :

GinnyAnswer
To find the cube root of the fraction [tex]\(\frac{8}{27}\)[/tex], we can break it down as follows:

1. Understand what we are finding:
- We need to determine the cube root of the fraction [tex]\(\frac{8}{27}\)[/tex].
- The cube root of a number [tex]\(x\)[/tex] is a number [tex]\(y\)[/tex] such that [tex]\(y^3 = x\)[/tex].

2. Calculate the fraction result:
- The fraction itself is [tex]\(\frac{8}{27} \approx 0.2962962962962963\)[/tex].

3. Calculate the cube root:
- We now want to find the cube root of [tex]\(0.2962962962962963\)[/tex].
- The cube root of [tex]\(0.2962962962962963\)[/tex] is approximately [tex]\(0.6666666666666666\)[/tex].

Putting these steps together:

1. We start with the fraction [tex]\(\frac{8}{27}\)[/tex], which is approximately [tex]\(0.2962962962962963\)[/tex].
2. Next, we determine the cube root of [tex]\(0.2962962962962963\)[/tex], which is approximately [tex]\(0.6666666666666666\)[/tex].

Therefore, [tex]\(\sqrt[3]{\frac{8}{27}} \approx 0.6666666666666666\)[/tex].
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