SOLUTION: I have revieved a new worksheet and it is all greek to me. My instructer quotes the text book and this makes it difficult for me to understand. My question is how do I solve - Rati

Algebra ->  Square-cubic-other-roots -> SOLUTION: I have revieved a new worksheet and it is all greek to me. My instructer quotes the text book and this makes it difficult for me to understand. My question is how do I solve - Rati      Log On


   

Question 63414: I have revieved a new worksheet and it is all greek to me. My instructer quotes the text book and this makes it difficult for me to understand. My question is how do I solve - Rationalize the denominator (7x^3)/(12x)Both are underneath the radical sign. How do I solve?
Found 2 solutions by funmath, ankor@dixie-net.com:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator
sqrt%28%287x%5E3%29%2F%2812x%29%29
sqrt%287x%2Ax%5E2%2F12x%29
sqrt%287x%5E2%29%2Fsqrt%2812%29
sqrt%28x%5E2%29%2Asqrt%287%29%2F%28sqrt%284%29%2Asqrt%283%29%29
x%2Asqrt%287%29%2F%282%2Asqrt%283%29%29
x%2Asqrt%287%29%2Asqrt%283%29%2F%282%2Asqrt%283%29%2Asqrt%283%29%29
x%2Asqrt%287%2A3%29%2F%282%2Asqrt%283%2A3%29%29
x%2Asqrt%2821%29%2F%282%2A3%29
highlight%28x%2Asqrt%2821%29%2F6%29
Happy Calculating!!!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Cancel out the x in the denominator, extract x^2 from the Square Root
:
SqRt%287x%5E3%2F%2812x%29%29 = SqRt%287x%5E2%2F12%29%29 = x%2ASqRt%287%2F12%29
:
Extract, 1/4 from the square root
:
x%2ASqRt%287%2F%283%2A4%29%29 = %281%2F2%29x%2ASqRt%287%2F3%29
:
I guess you could write it: .5x*SqRt(7/3)