SOLUTION: Good day to all of the tuitors here. iam just hopeful that my math homework might be solved by one of them. I actually have a little knowledge about conjugate of radical expression

Algebra ->  Radicals -> SOLUTION: Good day to all of the tuitors here. iam just hopeful that my math homework might be solved by one of them. I actually have a little knowledge about conjugate of radical expression      Log On


   

Question 177205: Good day to all of the tuitors here. iam just hopeful that my math homework might be solved by one of them. I actually have a little knowledge about conjugate of radical expressions but i have doubts if my final answer is correct. The problem goes like this....... Simplify the square root of x over 2x+1. Now in my try out of answering this question, my answer is square root of x times 2x-1 over 2x-1. Is that correct? pls help me. I need to know the correct answer or i will have trouble sleeping. Thanks to the tuitors. You guys have overwhelming answers.
darell_m2000@yahoo.com
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the expression sqrt%28x%2F%282x%2B1%29%29 ???


sqrt%28x%2F%282x%2B1%29%29 Start with the given expression.


sqrt%28x%29%2Fsqrt%282x%2B1%29 Break up the square root.


%28sqrt%28x%29%2Asqrt%282x%2B1%29%29%2F%28sqrt%282x%2B1%29%2Asqrt%282x%2B1%29%29 Multiply both the numerator and denominator by sqrt%282x%2B1%29


%28sqrt%28x%29%2Asqrt%282x%2B1%29%29%2F%282x%2B1%29 Multiply sqrt%282x%2B1%29 by itself to get sqrt%282x%2B1%29%2Asqrt%282x%2B1%29=%28sqrt%282x%2B1%29%29%5E2=2x%2B1


sqrt%28x%282x%2B1%29%29%2F%282x%2B1%29 Combine the radicals.


sqrt%282x%5E2%2Bx%29%2F%282x%2B1%29 Distribute


So sqrt%28x%2F%282x%2B1%29%29=sqrt%282x%5E2%2Bx%29%2F%282x%2B1%29