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olga nikolaevna [1]
3 years ago
11

I don’t know how to do the steps help please thank you

Mathematics
1 answer:
Daniel [21]3 years ago
6 0

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

________________________________________

Step-by-step explanation:

________________________________________

Given:     2  *  \sqrt[3]{81}   ;  

Simplify this given expression:

Let us list the factors of:  81:

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

________________________________________

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 "  ;

________________________________________

 →   The original expression:

    " 2 * ∛81 " ;

________________________________________

              =  2 * 3 * ∛3 ;

              =  (2 * 3)  * ∛3 ;

              =   6 ∛3  .

________________________________________

The answer is:  " 6 ∛3 " .

_______________________________________________

Hope this answer is helpful to you!

           Wishing you the best!

_______________________________________________

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