Question

Divide 2sqrt65/sqrt5

Answer 1

To simplify \(\frac{2\sqrt{65}}{\sqrt{5}}\), you can start by dividing the square root terms:

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

You can simplify \(\frac{\sqrt{65}}{\sqrt{5}}\) by expressing it as:

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

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

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

So,

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

Now plug this back into the expression:

\[
2 \cdot \sqrt{13} = 2\sqrt{13}
\]

Thus, the simplified form of \(\frac{2\sqrt{65}}{\sqrt{5}}\) is:

\[
\boxed{2\sqrt{13}}
\]