# No Calculus, Think Differently ...!

Algebra Level 5

If $$a,b\in \mathbb{R}$$ such that $E=\sqrt { { (a-b) }^{ 2 }+ (2-a-b )^{ 2 }+{ (2a-3b) }^{ 2 } }$ And If minimum value of $$E$$ can be expressed as $${ E }_{ min }=\frac { m }{ \sqrt { n } }$$ where $$m,n$$ are integers such that $$n$$ is a square free integer, then find the value of $$\displaystyle \mathrm{m + n}$$.

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