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 . ___________________________________
