Multiply √11 · 6√7. Give an exact answer.

Answer 1

To multiply these two square roots, we multiply the coefficients (the numbers outside the square roots) and then multiply the radicands (the numbers inside the square roots).

The coefficient of the first square root is 1 (since we don't see a coefficient explicitly written). The coefficient of the second square root is 6.

The radicand of the first square root is 11. The radicand of the second square root is 7.

So the product is (1)(6) = 6 for the coefficients and √(11)(√7) = √(11⋅7) = √77 for the radicands.

Therefore, the exact answer is 6√77.