Answer:
a + b + c = 12
Step-by-step explanation:
The given information are;
a² + b² + c² = 138
a·b + b·c + c·a = 3
The required data = a + b + c
Using an online tool, we have;
(a + b + c)² = (a + b + c) × (a + b + c) = 2·a·b + 2·b·c + 2·c·a + a² + b² + c²
∴ (a + b + c)² = 2·(a·b + b·c + c·a) + (a² + b² + c²)
Where;
a·b + b·c + c·a = 3, and a² + b² + c² = 138, we have;
(a + b + c)² = 2 × 3 + 138 = 144
(a + b + c)² = 144
(a + b + c) = √144 = 12
a + b + c = 12.
