Question 307161
{{{root(3,5)*root(4,3)=(5^(1/3)^"")(3^(1/4)^"")=(5^(4/12)^"")(3^(3/12)^"")=((5^4)(3^3))^(1/12)^""=(625*27)^(1/12)^""=16875^(1/12)^""=root(12,16875)}}}


So this means that {{{root(3,5)*root(4,3)=root(12,16875)}}}