SOLUTION: 3*sqrt(x-5)+4/Sqrt(x-5)+1 how do i rationalize this

Algebra ->  Square-cubic-other-roots -> SOLUTION: 3*sqrt(x-5)+4/Sqrt(x-5)+1 how do i rationalize this       Log On


   

Question 888046: 3*sqrt(x-5)+4/Sqrt(x-5)+1
how do i rationalize this
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You have a square root in a denominator, so multiplying the term with the square root in its denominator by
%28sqrt%28x-5%29%2Fsqrt%28x-5%29%29 leads you to an equivalent expression without a square root in a denominator
As long as x-5%3E=0<--->x%3E=5 the resulting expression is equivalent because
%28sqrt%28x-5%29%2Fsqrt%28x-5%29%29=1 when x-5%3E=0<--->x%3E=5 .


The last expression above can be transformed further, but it transforms into expressions that are not really simpler.
Some possibilities are:
3%2Asqrt%28x-5%29%2B4%2Asqrt%28x-5%29%2F%28x-5%29%2B1=%283%2B4%2F%28x-5%29%29sqrt%28x-5%29%2B1=%28%283%28x-5%29%2B4%29%2F%28x-5%29%29%2Asqrt%28x-5%29%2B1=%28%283x-15%2B4%29%2F%28x-5%29%29%2Asqrt%28x-5%29%2B1=%28%283x-11%29%2F%28x-5%29%29%2Asqrt%28x-5%29%2B1=%28%283x-11%29%2Asqrt%28x-5%29%2Bx-5%29%2F%28x-5%29