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Solve [tex]u^3 = 23[/tex] where [tex]u[/tex] is a real number.

Simplify your answer as much as possible. (If there is more than one solution, separate them with commas.)

[tex]u = \boxed{\sqrt[3]{23}}[/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(u^3 = 23\)[/tex] where [tex]\(u\)[/tex] is a real number, we need to isolate [tex]\(u\)[/tex].

We start by recognizing that if [tex]\(u\)[/tex] is a real number such that [tex]\(u^3 = 23\)[/tex], then [tex]\(u\)[/tex] must be the cube root of 23. The cube root can be denoted as [tex]\( \sqrt[3]{23}\)[/tex].

Therefore, to solve for [tex]\(u\)[/tex], we take the cube root of both sides of the equation:

[tex]\[ u = \sqrt[3]{23} \][/tex]

By evaluating [tex]\(\sqrt[3]{23}\)[/tex], we find that:

[tex]\[ u \approx 2.8438669798515654 \][/tex]

So, the real number [tex]\(u\)[/tex] that satisfies the equation [tex]\(u^3 = 23\)[/tex] is approximately [tex]\(u = 2.8438669798515654\)[/tex].

To simplify the expression to its most concise mathematical form:

[tex]\[ u = \sqrt[3]{23} \][/tex]
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