SOLUTION: Write the given expression as a single quotient in which only positive exponents and/or radicals appear. [(1 + x)/2x^(1/2] + [x^(1/2)]

Algebra ->  Expressions -> SOLUTION: Write the given expression as a single quotient in which only positive exponents and/or radicals appear. [(1 + x)/2x^(1/2] + [x^(1/2)]      Log On


   

Question 1208444: Write the given expression as a single quotient in which only positive exponents and/or radicals appear.

[(1 + x)/2x^(1/2] + [x^(1/2)]
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

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%281%2Bx%5E%22%22%29%2F%282x%5E%28%221%2F2%22%29%29%22%22%2B%22%22x%5E%28%221%2F2%22%29%2F1%5E%22%22

Get LCD = 2x1/2

%281%2Bx%5E%22%22%29%2F%282x%5E%28%221%2F2%22%29%29%22%22%2B%22%22

%281%2Bx%5E%22%22%29%2F%282x%5E%28%221%2F2%22%29%29%22%22%2B%22%222x%5E1%2F%282x%5E%28%221%2F2%22%29%29

%281%2B3x%5E%22%22%29%2F%282x%5E%28%221%2F2%22%29%29

You could leave it like that.  Or change the 1/2 power to a
square root, like this:

%281%2B3x%29%2F%282sqrt%28x%29%29

But most teachers like the denominator
to be rationalized:

%281%2B3x%29%2F%282sqrt%28x%29%29%22%22%2A%22%22sqrt%28x%29%2Fsqrt%28x%29

%28%281%2B3x%29sqrt%28x%29%29%2F%282x%29

Edwin