Question

$( sqrt[3]{ frac{2}{3}+ frac{3}{2}- frac{5}{6} } -1)( frac{4}{ sqrt[3]{36} }+ frac{2}{ sqrt[3]{6} }+1)$

Answer 1

(∛(2/3 +3/2 - 5/6 ) - 1)*( 4/ (∛36) + 2/ (∛6) + 1 ) =

(∛(4/6 +9/6 - 5/6 ) - 1)*( 2²/ (∛6²) + 2/ (∛6) + 1² )) =

(∛(8/6) - 1) *(2²/ (∛6²) + 2/ (∛6) + 1² ) =

(2/∛6 - 1 )* (2²/ (∛6²) + 2/ (∛6) + 1² ) =  ( 2/ ∛6 )³- 1³ = 2³/ (∛6 )³ -1 =8/6 -1= 1/3