Verified answer

r = √(x^2 + y^2)

r = √[ (-√(2)^2 + (√6)^2]

r = √[2 + 6]

r = √(8)

r = √(4 * 2)

r = 2√(2) answer//

solving its Angle

tan(θ) = y/x

tan(θ) = √(6)/-√2

tan(θ) = - √(3)

tan⁻¹(θ) = - 60° + 180° = 120° answer//

Answer is c. (2√2, 120°)

We are in Q2,

R = root( 2 + 6) = root 8 or 2 * root(2)

cos theta = root(2) / 2 root(2) theta = 2pi/3 or 120

So the answer is 2√2 , 120

32rg