SOLUTION: Simplify (be sure to rationalize all denominators) 12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0) I'm not sure what to do with this problem, I came to the incorrect answer

Algebra ->  Radicals -> SOLUTION: Simplify (be sure to rationalize all denominators) 12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0) I'm not sure what to do with this problem, I came to the incorrect answer       Log On


   



Question 43150: Simplify (be sure to rationalize all denominators)
12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0)

I'm not sure what to do with this problem, I came to the incorrect answer of x+5/[x^(1/4)]. I thought mabye I could rewrite it as x^(3/4) + [5x^(3/4)] / x and then factor out the x^(3/4). But I'm not sure how to do all this. I'd really appreciate your help, thanks!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^(3/4) + 5/[x^(1/4)
The LCD is x^(1/4) giving:
[x^(4/4) +5]/x^(1/4)
=[x+5]/x^(1/4)
Cheers,
Stan H.