Multiply square root of 11-6 by square root of seven given an exact answer

Answer 1

To multiply $\sqrt{11-6}$ by $\sqrt{7}$, first simplify $\sqrt{11-6}$:

$$11-6=5$$

Thus, $\sqrt{11-6}=\sqrt{5}$.

Now, multiply $\sqrt{5}$ by $\sqrt{7}$:

$$\sqrt{5}\cdot \sqrt{7}=\sqrt{5\cdot 7}=\sqrt{35}$$

Therefore, the exact answer is:

$$\sqrt{35}$$