Multiply 11 −−−√ ⋅67–√

Question

. Give an exact answer.(1 point)

Answer 1

To multiply the square roots \( \sqrt{11} \) and \( \sqrt{67} \), you can use the property of square roots that states \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \).

So, \[ \sqrt{11} \cdot \sqrt{67} = \sqrt{11 \cdot 67}. \]

Now, calculate \( 11 \cdot 67 \): \[ 11 \cdot 67 = 737. \]

Thus, \[ \sqrt{11} \cdot \sqrt{67} = \sqrt{737}. \]

Therefore, the exact answer is: \[ \sqrt{737}. \]