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3 years ago

Urgent please!!!!!!!!!!!!!!!!!!!!!

1 answer:

4 0

The answer is: " 16 * ∛12 " ; or, write as: " 35.631 " .
<span>_____________________________________________________
Explanation:
______________________________________________

" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =

</span>√16 * ∛6 *√4 *∛16 =

√16 * √4 * ∛6 * ∛16 =

4 * 2 * ∛6 * ∛16 =

8 * (∛6 * ∛16) =

8 * (∛(6 * 16) =

8 * (∛96) = ?
_________________________
What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
_________________________
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;

and: "8 * 12 = 96" ;
_________________________________
So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
__________________________________
and:
___________________________________
8 * (∛96) = 8 * 2 * ∛(12) ;
___________________________________
= 16 * ∛12 ; or, use a calculator to multiply to find the value:

= 36.6308557617066198 ; round to 35.631 .
___________________________________

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