Divide 2√65 / √5. Provide an exact answer.

Answer 1

To simplify the expression 2√65 / √5, we can simplify the square root terms first.

√65 = √(5*13) = √5 * √13 = √5√13.
Therefore, 2√65 = 2(√5√13).

Now, substitute these values back into the original expression:
(2(√5√13)) / √5.

Since √5/√5 = 1, the expression simplifies to:
2√13.