Respuesta :

Answer:  The correct answer is:  " 6 ∛3 " .

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Step-by-step explanation:

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Given:     2  *  [tex]\sqrt[3]{81}[/tex]   ;  

Simplify this given expression:

Let us list the factors of:  81:

1, 2, 3, 9, 27 , 81 .

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Are any of these factors "perfect cubes"?

Let's see:  ∛27 =  3 ;   (use calculator);  since:  " 3³ = 3 * 3 * 3 " .

81 = 27 * 3 ;

So:    "  ∛(81) " ;

          =  ∛(27)  * ∛(3)  ;

          =  " 3  *  ∛3 "  ;

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 →   The original expression:

    " 2 * ∛81 " ;

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              =  2 * 3 * ∛3 ;

              =  (2 * 3)  * ∛3 ;

              =   6 ∛3  .

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The answer is:  " 6 ∛3 " .

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Hope this answer is helpful to you!

           Wishing you the best!

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