Question

Show that 12cos30 + 2tan60 can be written in the form Vk where k is an integer

Answer 1

√192

Explanation:

12 cos 30° + 2 tan 60°

Substitute the trig functions of the special angles.

12 (½√3) + 2 (√3)

Simplify.

6√3 + 2√3

8√3

Move under the radical.

√(8² · 3)

√192