SOLUTION: rope is square root 250 units long. it is cut into 2 pieces so the lengths are in ratio of 3:2. what is the length of the longer piece expressed in simplest radical form? do I s

Algebra ->  Radicals -> SOLUTION: rope is square root 250 units long. it is cut into 2 pieces so the lengths are in ratio of 3:2. what is the length of the longer piece expressed in simplest radical form? do I s      Log On


   

Question 664969: rope is square root 250 units long. it is cut into 2 pieces so the lengths are in ratio of 3:2. what is the length of the longer piece expressed in simplest radical form? do I set it up as x/ sq.rt.250=5/3: I end up with 25*sq.rt. 10 over 3. I don't think this is right.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28250%29 is the full length.
Cut into 2 pieces at a 3:2 ratio says one piece is (3/5) and the other is (2/5) of the full length. So longer is
%283%2F5%29%2Asqrt%28250%29
%283%2F5%29%2Asqrt%2825%2A10%29
%283%2F5%29%2Asqrt%2825%29%2Asqrt%2810%29
%283%2F5%29%2A5%2Asqrt%2810%29
+3%2Asqrt%2810%29