Answer:
6
Explanation:
To simplify the expression 3√20/√5, we can simplify the individual square roots separately and then divide the results.
Let's start by simplifying the numerator, 3√20. As we discussed earlier, √20 can be simplified as 2√5. Therefore, 3√20 becomes 3 * 2√5, which simplifies to 6√5.
Now, let's simplify the denominator, √5. Since there are no common factors other than 1, √5 cannot be simplified any further.
Next, we can divide the numerator, 6√5, by the denominator, √5. Dividing by a square root is equivalent to multiplying by its reciprocal. So, we can rewrite the expression as (6√5)/(√5) = 6.
Therefore, the simplified form of 3√20/√5 is 6.
So, the correct answer is 6.