Question

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?

Answer 1

`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.