SOLUTION: Please help me solve {{{7/2 square root of x-5}}}

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Question 39269: Please help me solve 7%2F2+square+root+of+x-5
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
This cannot be solved since it is not an equation, but it can be simplified...
(7 / (2 sqrt(x))) - 5
Here we rationalize the denominator by mutiplying top and bottom by sqrt(x) and get
(7 / (2 sqrt(x))) - 5 =
(7*sqrt(x) / (2 sqrt(x))*sqrt(x)) - 5 =
(7*sqrt(x) / (2x)) - 5 =
Now we combine the fraction with the 5...
(7*sqrt(x) / (2x)) - 10x/2x =
(7*sqrt(x) - 10x) / 2x
and we're done.