SOLUTION: Simplify (rationalize all denominators) x^(3/4) + 5/[x^(1/4)] (you may assume x>0) I think I should start by rewriting it as x^(3/4) + [5x^(3/4)] / x and then try to factor

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify (rationalize all denominators) x^(3/4) + 5/[x^(1/4)] (you may assume x>0) I think I should start by rewriting it as x^(3/4) + [5x^(3/4)] / x and then try to factor       Log On


   



Question 83555: Simplify (rationalize all denominators)
x^(3/4) + 5/[x^(1/4)] (you may assume x>0)
I think I should start by rewriting it as x^(3/4) + [5x^(3/4)] / x and then try to factor out x^(3/4). I can't remember how to do this correctly. I'd like to see the steps to solve the problem and the answer. Thanks.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^(3/4) + 5/[x^(1/4)]
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Write with a common denominator:
(x+5)/(x^(1/4))
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Rationalize the denominator); multiply numerator and denominator by x^(3/4):
[x^(3/4)(x+5)] / x
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Cheers,
Stan H.