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:
- 2[tex]\sqrt{3}[/tex]: This represents 2 times the square root of 3, which is not correct.
- 2[tex]\sqrt[3]{3}[/tex]: This represents 2 times the cube root of 3, which is also incorrect.
- 2[tex]\sqrt{6}[/tex]: This represents 2 times the square root of 6, not correct.
- 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]
Answer:
https://allnswers.com/mathematics/question16563309
Step-by-step explanation:
