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
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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) (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)
=======================
Cheers,
Stan H.
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