To determine the cube root of [tex]\(512\)[/tex], we need to find a number that, when multiplied by itself three times (i.e., raised to the power of three), equals [tex]\(512\)[/tex].
Let's denote this unknown number as [tex]\(x\)[/tex]. Thus, we are looking for [tex]\(x\)[/tex] such that:
[tex]\[x^3 = 512\][/tex]
To solve this, we take the cube root on both sides of the equation:
[tex]\[x = \sqrt[3]{512}\][/tex]
The result of finding the cube root of [tex]\(512\)[/tex] is approximately:
[tex]\[x \approx 7.999999999999999\][/tex]
So, the cube root of [tex]\(512\)[/tex] is approximately [tex]\(7.999999999999999\)[/tex].
