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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#

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.

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Answer 2

Eva Abramson

The length of the longer piece, expressed in simplest radical form, is sqrt 150 units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.