Question 178229
{{{3*root(3,81a^3b^4)-2a*root(3,24b^4)}}} Start with the given expression.



{{{3*3ab*root(3,3b)-2a*root(3,24b^4)}}} Simplify the first cube root. Note: let me know if you need help simplifying cube roots.



{{{9ab*root(3,3b)-2a*root(3,24b^4)}}} Multiply



{{{9ab*root(3,3b)-2a*2b*root(3,3b)}}} Simplify the second cube root.



{{{9ab*root(3,3b)-4ab*root(3,3b)}}} Multiply



{{{root(3,3b)*(9ab-4ab)}}} Factor out the GCF {{{root(3,3b)}}}



{{{root(3,3b)*(5ab)}}} Combine like terms.



{{{5ab*root(3,3b)}}} Rearrange the terms.



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Answer:



So {{{3*root(3,81a^3b^4)-2a*root(3,24b^4)=5ab*root(3,3b)}}}