To solve for the fourth root of [tex]\(432\)[/tex], we need to find a number [tex]\(x\)[/tex] such that [tex]\(x^4 = 432\)[/tex].
1. We start by noting that the fourth root can be expressed as:
[tex]\[
\sqrt[4]{432} = 432^{\frac{1}{4}}
\][/tex]
2. Conceptually, this means we are looking for a value which, when raised to the fourth power, will equal 432.
3. According to the calculations, the fourth root of [tex]\(432\)[/tex] is approximately:
[tex]\[
\sqrt[4]{432} \approx 4.559014113909555
\][/tex]
4. Hence, the value we seek is:
[tex]\[
\sqrt[4]{432} \approx 4.559014113909555
\][/tex]
This result means that if you raise 4.559014113909555 to the power of 4, you will get 432.
