Question

Divide 2√65/√5.

Answer 1

is that the exact answer?

Answer 2

thats not the right answer

Answer 3

To simplify \( \frac{2\sqrt{65}}{\sqrt{5}} \), we can first simplify the expression by using the property of square roots:

\[
\frac{2\sqrt{65}}{\sqrt{5}} = 2 \cdot \frac{\sqrt{65}}{\sqrt{5}} = 2 \cdot \sqrt{\frac{65}{5}}
\]

Now, we can simplify \( \frac{65}{5} \):

\[
\frac{65}{5} = 13
\]

So we have:

\[
\frac{2\sqrt{65}}{\sqrt{5}} = 2 \cdot \sqrt{13}
\]

Thus, the simplified expression is:

\[
2\sqrt{13}
\]

Answer 4

Yes, \( 2\sqrt{13} \) is the exact simplified answer for the expression \( \frac{2\sqrt{65}}{\sqrt{5}} \).

To recap the steps:

1. Start with \( \frac{2\sqrt{65}}{\sqrt{5}} \).
2. Multiply by \( \sqrt{5}/\sqrt{5} \) to eliminate the denominator:
\[
\frac{2\sqrt{65}}{\sqrt{5}} = 2\frac{\sqrt{65}}{\sqrt{5}} = 2\sqrt{\frac{65}{5}}.
\]
3. Simplify \( \frac{65}{5} \) to get \( 13 \):
\[
2\sqrt{13}.
\]

So, \( 2\sqrt{13} \) is indeed the exact answer.

Answer 5

Let's go through the calculation step-by-step again to ensure accuracy.

We need to simplify the expression \( \frac{2\sqrt{65}}{\sqrt{5}} \).

### Step 1: Rewrite the expression
\[
\frac{2\sqrt{65}}{\sqrt{5}} = 2 \cdot \frac{\sqrt{65}}{\sqrt{5}}.
\]

### Step 2: Simplify using the square root property
\[
\frac{\sqrt{65}}{\sqrt{5}} = \sqrt{\frac{65}{5}}.
\]

### Step 3: Perform the division inside the square root
Calculating \( \frac{65}{5} \):
\[
\frac{65}{5} = 13.
\]
So,
\[
\sqrt{\frac{65}{5}} = \sqrt{13}.
\]

### Step 4: Substitute back into the expression
Now we have:
\[
\frac{2\sqrt{65}}{\sqrt{5}} = 2 \cdot \sqrt{13}.
\]

### Final Answer
Thus, the simplified form remains:
\[
2\sqrt{13}.
\]

If there is any additional information or context that may influence the expectation of the answer, please let me know! Otherwise, \( 2\sqrt{13} \) is the correct simplification of \( \frac{2\sqrt{65}}{\sqrt{5}} \).