A technique will solve this easily

Algebra Level 1

1a2+1b2+1c2+2(a2+b2+c2)3\large \dfrac{1}{a^2}+\dfrac{1}{b^2}+\dfrac{1}{c^2}+\dfrac{2(a^2+b^2+c^2)}{3} Let a,ba,b and cc be positive reals satisfy a+b+c=3a+b+c=3. Find the minimum value of the expression above.

Give your answer to 2 decimal places

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