A rope is #sqrt 250# units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 3:2 . What is the length of the longer piece expressed in simplest radical form?

1 Answer
May 24, 2017

Answer:

#3sqrt10#

Explanation:

You can simplify #sqrt250# to #5sqrt10#. Then, you know that each "part" in the ratio is equivalent to #sqrt10#. Then, by logic, you know that the longer piece is the part with a ratio equivalent to 3. Now, all you have to do is multiply #sqrt10# by 3 to get #3sqrt10#, which is simplified.