# SOLUTION: Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] I somehow came up with SQRT(3)(2SQRTa^3b^3a+9bSQRTa^5b)but thats not the correct

Algebra ->  Algebra  -> Radicals -> SOLUTION: Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] I somehow came up with SQRT(3)(2SQRTa^3b^3a+9bSQRTa^5b)but thats not the correct      Log On

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 43149: Simplify (be sure to rationalize all denominators) 10. 3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] I somehow came up with SQRT(3)(2SQRTa^3b^3a+9bSQRTa^5b)but thats not the correct answer and I need to learn all the steps to come to the correct answer so I'll know for futre problems like this. Thank you! Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!3b[SQRT(27a^5b)] + 2a[SQRT(3a^3b^3)] =3b[3a^2sqrt(3ab)] +2a[absqrt(3ab)] =9a^2b sqrt(3ab) + 2a^2b sqrt(3ab) = 11a^2b sqrt(3ab) Cheers, stan H.