Question 1089099
Why can't we rewrite the product as a whole radical, for instance {{{sqrt(8) *  (root(4,27))}}}, wherein it is an incorrect simplification that the answer is {{{root(4,216^3)}}}? I believe that the answer should be this one {{{2sqrt(2)(root(4,27))}}}.
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{{{sqrt(8)*(root(4,27))}}}
= {{{root(4,64)*(root(4,27))}}}
= {{{root(4,1728)}}}
Or,
= {{{2root(4,4)*(root(4,27))}}}
= {{{2root(4,108)}}}
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That can be written as:
= {{{2sqrt(2)*(root(4,27))}}}
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Which is simpler, or "more simplified," can be a matter of opinion.