SOLUTION: Multiply: sqrt (x)^1/3 (sqrt (3x^2)^1/3

SOLUTION: Multiply: sqrt (x)^1/3 (sqrt (3x^2)^1/3 - sqrt (81x^2)^1/3)

Question 201790: Multiply: sqrt (x)^1/3 (sqrt (3x^2)^1/3 - sqrt (81x^2)^1/3)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your formula looks like this:
if I understand it correctly.
since is the same as this formula can be rewritten as follows:

since by the rules of exponents is equal to , this formula can be rewritten as follows:

since is equal to , this formula can be rewritten as follows:

since is a common factor, it can be factored out to get:

which simplifies to:

which i do not believe can be simplified any further, so I reduced the constants to get:

to prove the answer is correct, then take any value of x and solve the original equation and then solve the reduced equation. you should get the same answer.
I did it using a value of x = 4, 12, and 27.
You can use any value you wish if you want to take the time to prove it to yourself.

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