Question

if
$a {}^{2} + b {}^{2} + c {}^{2} = 250 \\ and \: \\ ab + bc + ca = 3 \\ find \: a + b + c = ?$
​

Answer 1

$\huge\mahfrak\GREEN{Given}$

a² + b² + c² = 250

ab + BC + ca = 3

$\huge\sf\bold\blue{<em>To</em><em> </em>Find}$

a + b + c

$\huge\green{solution}$

(a+b+c)² = a²+b²+c²+2ab+2bc+2ca

(a+b+c)² = 250 +2(ab + bc + ca)

(a+b+c)² = 250 + 2(3)

(a+b+c)² = 250 + 6

(a+b+c) = √256

$\huge\mahfrak\purple{(a+b+c) = 16}$

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