Question

a2+ b2+c2 =16 ab+bc+ca =10then a+b+c=what​

Answer 1

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

(a+b+c)2=16+2(10)

(a+b+c)2=16+20

a+b+c=√36=6

Answer 2

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

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

(a + b + c)² = 16 + 2(10)

(a + b + c)² = 16 + 20

(a + b + c)² = 36

Taking square root both sides

a + b + c = 6