SOLUTION: Simplify (be sure to rationalize all denominators) 12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0) Hello, I really need help with this problem. I tried myself and got this an

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Question 43217: Simplify (be sure to rationalize all denominators)
12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0)
Hello, I really need help with this problem. I tried myself and got this answer x+5/[x^(1/4)]. But, I was tould this is not correct. I was advised to re write the problem as x^(3/4)+[5/x^3/4]/x and then factor out the x^3/4. But I dont know exactly how to do this. I asked this question earlier, but i recieved the same incorrect answer that I came up with. If anyone could help me and show all the steps to the correct simplified answer with a rationalized denominators I would appriciate it so much. Thank you.
Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
Okay from
x^(3/4) + 5/[x^(1/4)]
let us rationalize the denominator of the second fraction by multiplying top and bottom by x^(3/4)...notice that will make the new denominator a full x...so we get
x^(3/4) + 5*x^(3/4) / x^(3/4) =
x^(3/4) + 5*x^(3/4) / x
Now if you want to factor out the x^(3/4), we get
x^(3/4)[1 + 5/x]