Question

Please help me. .......

Answer 1

Answer:

$(a + b + c) = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca \\ {a}^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ca) \\ 25 + 2(3) \\ 25 + 6 \\ 31$

Answer 2

Answer:

⇒ a + b + c = √31

Step-by-step explanation:

Given :

a² + b² + c² = 25,

ab + bc + ac = 3,

Then, find :

a + b + c

Solution :

We know that,

(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc

⇒ (a + b + c)² = (a² + b² + c²) + 2(ab + bc + ac)

⇒ (a + b + c)² = 25 + 2 × (3)

⇒ (a + b + c)² = 25 + 6 = 31

⇒ a + b + c = √31