SOLUTION: Rationalize the denominator. Please assist me with this problem. _______ √ 25p^7 ....r Actual problem is here http://www.ccaurora.edu/mat

Algebra ->  Square-cubic-other-roots -> SOLUTION: Rationalize the denominator. Please assist me with this problem. _______ √ 25p^7 ....r Actual problem is here http://www.ccaurora.edu/mat      Log On


   

Question 33613: Rationalize the denominator.
Please assist me with this problem.
_______
√ 25p^7
....r


Actual problem is here
http://www.ccaurora.edu/mat090/Tests/test_chapter_8_files/image030.gif
Answer by kietra(57) About Me  (Show Source):
You can put this solution on YOUR website!
When you rationalize the denominator, you are basically manipulating the expression so there is no square root in the denominator. Lets rewrite the problem to the following:
%28sqrt+%2825p%5E7%29%29%2F%28sqrt%28r%29%29
We simplify the top first
sqrt+%2825p%5E7%29 = 5p%5E3%28sqrt%28p%29%29
So 5p%5E3%28sqrt%28p%29%29%2Fsqrt%28r%29
Next, multiply numerator and denominator by sqrt%28r%29
%285p%5E3%2Asqrt%28p%29%2Asqrt%28r%29%29%2F%28sqrt%28r%29%2Asqrt%28r%29%29
%285p%5E3%2Asqrt%28pr%29%29%2Fsqrt%28r%5E2%29
%285p%5E3%2Asqrt%28pr%29%29%2Fr