Simplify the expression by removing all factors that are perfect squares from inside the radicals, and combine the terms : √6⋅(8√42+5√30)
√6⋅(8√42+5√30) =
√6⋅ [8√6*√7 + 5√6*√5] =
6*8√7 + 6*5*√5 =
48√7 + 30√5