Simplify:

3 squared divided by the square root of 80.
Multiple choices:
1. square root of 80 divided by 3 to the negative 2nd power
2. 4 over 9 times the square root of 5
3. 5 over 4 times the square root of 5
4. 9 over 20 times the square root of 5
However, I got 9 times the square root of 5 divided by 20. What is going on here?

I think you have the right answer and it matches #4

how about
#4 (9 over 20) times the square root of 5, isn't that what you said?

(9√5)/20 is the same as (9/20)(√5)

To simplify the expression 3 squared divided by the square root of 80, let's break it down step by step.

First, let's evaluate 3 squared, which means multiplying 3 by itself: 3 squared = 3 * 3 = 9.

Next, let's simplify the square root of 80. The square root of 80 can be written as the square root of 16 multiplied by 5. The square root of 16 is 4, so we have: square root of 80 = 4 * square root of 5.

Now, we can substitute the values we found:
3 squared divided by the square root of 80 becomes 9 divided by (4 * square root of 5).

To simplify this further, we can divide 9 by 4: 9 / 4 = 2.25.

Therefore, the expression simplifies to 2.25 multiplied by the square root of 5.

However, the provided answer choices show different simplifications, which can be confusing. It seems there might be a mistake in the options. If your simplification was 9 times the square root of 5 divided by 20, that is also a valid simplification of the expression.

Both 2.25 times the square root of 5 and 9 times the square root of 5 divided by 20 are equivalent expressions.