Answer :
To find the value of \(\sqrt[3]{8}\), we need to determine the number that, when multiplied by itself three times, equals 8.
Let's break down the steps:
1. Identify the problem:
We are looking for the cube root of 8, which is represented as \(\sqrt[3]{8}\).
2. Understand what a cube root is:
The cube root of a number \(n\) is a value \(x\) such that \(x \times x \times x = n\). In this case, we need \(x\) such that \(x \times x \times x = 8\).
3. Test possible values:
- If \(x = 1\), then \(1 \times 1 \times 1 = 1\).
- If \(x = 2\), then \(2 \times 2 \times 2 = 8\).
- If \(x = 3\), then \(3 \times 3 \times 3 = 27\).
4. Determine the correct value:
From the tests, \(x = 2\) satisfies the condition because \(2 \times 2 \times 2 = 8\).
Thus, the cube root of 8 is given by:
[tex]\[ \sqrt[3]{8} = 2 \][/tex]
So, the value of [tex]\(\sqrt[3]{8}\)[/tex] is [tex]\(\boxed{2.0}\)[/tex].
Let's break down the steps:
1. Identify the problem:
We are looking for the cube root of 8, which is represented as \(\sqrt[3]{8}\).
2. Understand what a cube root is:
The cube root of a number \(n\) is a value \(x\) such that \(x \times x \times x = n\). In this case, we need \(x\) such that \(x \times x \times x = 8\).
3. Test possible values:
- If \(x = 1\), then \(1 \times 1 \times 1 = 1\).
- If \(x = 2\), then \(2 \times 2 \times 2 = 8\).
- If \(x = 3\), then \(3 \times 3 \times 3 = 27\).
4. Determine the correct value:
From the tests, \(x = 2\) satisfies the condition because \(2 \times 2 \times 2 = 8\).
Thus, the cube root of 8 is given by:
[tex]\[ \sqrt[3]{8} = 2 \][/tex]
So, the value of [tex]\(\sqrt[3]{8}\)[/tex] is [tex]\(\boxed{2.0}\)[/tex].
