To find the value of [tex]\(\sqrt[3]{54}\)[/tex], we need to determine the cube root of 54. The cube root of a number [tex]\(n\)[/tex] is another number [tex]\(a\)[/tex] such that when [tex]\(a\)[/tex] is multiplied by itself three times, it equals [tex]\(n\)[/tex]. In mathematical notation, this is expressed as:
[tex]\[ a = \sqrt[3]{n} \][/tex]
In this case, [tex]\(n\)[/tex] is 54. We are looking for a number [tex]\(a\)[/tex] such that:
[tex]\[ a^3 = 54 \][/tex]
Through computation, we find that the cube root of 54 is approximately:
[tex]\[ \sqrt[3]{54} \approx 3.7797631496846193 \][/tex]
Hence, the cube root of 54 is approximately [tex]\(3.7797631496846193\)[/tex].
