Sure, let's solve the expression [tex]\(\sqrt[3]{16}\)[/tex] step by step:
1. Understand the Expression:
- The expression [tex]\(\sqrt[3]{16}\)[/tex] represents the cube root of 16.
- Mathematically, it is equivalent to finding a number [tex]\(x\)[/tex] such that [tex]\(x^3 = 16\)[/tex].
2. Express the Cube Root:
- We can express [tex]\(\sqrt[3]{16}\)[/tex] using exponents: [tex]\(16^{1/3}\)[/tex].
3. Approximate the Value:
- To find the approximate value of [tex]\(16^{1/3}\)[/tex], we need to determine a number which, when raised to the power of 3, gives 16.
- Through numerical methods or using a calculator, we find that this value is approximately 2.5198420997897464.
So, the value of [tex]\(\sqrt[3]{16}\)[/tex] is approximately [tex]\(2.5198420997897464\)[/tex].
