Answer :

The expression equivalent to 24 represented as 2[tex]\sqrt[3]{6}[/tex].

To determine which expression is equivalent to [tex]\sqrt[3]{24}[/tex], we need to understand fractional exponents. The expression [tex]\sqrt[3]{24}[/tex] represents the cube root of 24, which can be written as [tex]\sqrt[3]{24}[/tex].

Let's break down the possible answers:

  1. 2[tex]\sqrt{3}[/tex]: This represents 2 times the square root of 3, which is not correct.
  2. 2[tex]\sqrt[3]{3}[/tex]: This represents 2 times the cube root of 3, which is also incorrect.
  3. 2[tex]\sqrt{6}[/tex]: This represents 2 times the square root of 6, not correct.
  4. 2[tex]\sqrt[3]{6}[/tex]: This represents 2 times the cube root of 6.

We are looking for the cube root of 24, which is approximately 2.88. Among the options, 2[tex]\sqrt[3]{6}[/tex] is the correct expression. That's because [tex]\sqrt[3]{24}[/tex] can be approximated closely to this form.

Complete question:

Which expression is equivalent to [tex]\sqrt[3]{24}[/tex]？

  • 2[tex]\sqrt{3}[/tex]
  • 2[tex]\sqrt[3]{3}[/tex]
  • 2[tex]\sqrt{6}[/tex]
  • 2[tex]\sqrt[3]{6}[/tex]

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Rewritten by : Barada

Answer:

https://allnswers.com/mathematics/question16563309

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