Option 3: [tex]2^{\frac{5}{6}}[/tex] is the right answer
Step-by-step explanation:
Given expression is:
[tex](\sqrt{2})(\sqrt[3]{2} )[/tex]
In order to simplify the expression we have to convert the radicals in exponents
[tex]2^{\frac{1}{2}} . 2^{\frac{1}{3}}[/tex]
As he base is same, the powers can be added
[tex]=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}[/tex]
Hence,
Option 3: [tex]2^{\frac{5}{6}}[/tex] is the right answer
Keywords: Exponents, radicals
Learn more about exponents at:
- brainly.com/question/4771355
- brainly.com/question/4786449
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