Question

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

Answer 1

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

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

√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   .
___________________________________