Given that the quadratic equation 2x² + px + 8 = 0 has real roots

Comparing with standard quadratic equation ax² + bx + c = 0

a = 2 b = p c = 8

Thus D = 0

Discriminant D = b² – 4ac≥0

(p)² – 4.2.8≥0

(p)² – 64≥0

p² ≥ 64 taking square root on both sides

p≥8 or p≤ – 8

_{The roots of equation are real for p≥8 or p≤ – 8}