Question

root2+root2+root (2+cos8a)​

Answer 1

root12+cos8a

I hope that I am correct

Answer 2

Answer:

√ (2 + √ (2 + √(2 + 2cos8)))

= √ (2 + √ (2 + √(2(1 + cos8)))

= √ (2 + √ (2 + √(4 cos24)))

= √ (2 + √ (2 + 2cos4))

= √ (2 + √ (2 (1+ cos4))

= √ (2 + √ (4 cos22))

= √ (2 + 2cos2)

= √ (2 (1+ cos2)

= √ 4 cos20

= 2cos0 PROVED