SOLUTION: I need some help on an algebra test. Here is the question: Simplify. Make sure to rationalize all denominators. 3b[SQRT(27a^5*b)] + 2a[SQRT(3a^3*b3)] Any help would be g

Algebra ->  Radicals -> SOLUTION: I need some help on an algebra test. Here is the question: Simplify. Make sure to rationalize all denominators. 3b[SQRT(27a^5*b)] + 2a[SQRT(3a^3*b3)] Any help would be g      Log On


   



Question 730935: I need some help on an algebra test. Here is the question:
Simplify. Make sure to rationalize all denominators.
3b[SQRT(27a^5*b)] + 2a[SQRT(3a^3*b3)]

Any help would be greatly appreciated, and if possible, could you show me your steps so I can better understand how it's done?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3b[SQRT(27a^5*b)] + 2a[SQRT(3a^3*b3)]
--------
= 3b[sqrt(9a^4*3ab)] + 2a[sqrt(a^2b^2*3ab)]
-------
= 3b[3a^2*sqrt(3ab)] + 2a[ab*sqrt(3ab)]
-------
= 9a^2b*sqrt(3ab) + 2a^2b*sqrt(3ab)
-------
= [9a^2b+2a^2b]*sqrt(3ab)
------
= 11a^2b*sqrt(3ab)
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Cheers,
Stan H.