SOLUTION: On my test, the question was to Rationalize the Denominator of sqrt 2x/sqrt 63. The whole fraction was under the sqrt sign. My answer was sqrt 126x/63. Only a sqrt sign over th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: On my test, the question was to Rationalize the Denominator of sqrt 2x/sqrt 63. The whole fraction was under the sqrt sign. My answer was sqrt 126x/63. Only a sqrt sign over th      Log On


   



Question 369012: On my test, the question was to Rationalize the Denominator of
sqrt 2x/sqrt 63. The whole fraction was under the sqrt sign.
My answer was sqrt 126x/63. Only a sqrt sign over the top of the fraction 126x.
The correct answer was sqrt 14x/21. Only a sqrt sign over the top of the fraction 14x.
I can not figure out how to get the correct answer on this problem. Can you show me the steps that should be done to get the correct answer?
I appreciate any assistance.
Jill

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x%29%2Fsqrt%2863%29=sqrt%282x%29%2F%28sqrt%289%2A7%29%29
sqrt%282x%29%2Fsqrt%2863%29=sqrt%282x%29%2F%283%2Asqrt%287%29%29

sqrt%282x%29%2Fsqrt%2863%29=sqrt%2814x%29%2F%2821%29
.
.
.
Your answer is not incorrect, it's just not simplified.
sqrt%28126x%29%2F63=sqrt%289%2A14x%29%2F63
sqrt%28126x%29%2F63=%283%2Asqrt%2814x%29%29%2F63
sqrt%28126x%29%2F63=sqrt%2814x%29%2F21