Question

a^2+b^2+c^2=35 and ab+bc+ca=23;find a+b+c

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

9

Step-by-step explanation:

According to the formula,

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2(ab + bc + ca) \\ = > {(a + b + c)}^{2} = 35 + 2(23) \\ = > {(a + b + c)}^{2} = 35 + 46 \\ = > {(a + b + c)}^{2} = 81 \\ = > a + b + c = \sqrt{81} = 9$

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