# Just an easy simplification

$$\large 3 \sqrt{147} - \frac{7}{3} \sqrt{ \frac{1}{3} } + 7 \sqrt{ \frac{1}{3} } = \frac{a}{b} \sqrt{c}$$

where $$a$$ and $$b$$ are positive co-primes and $$c$$ is not a perfect square .

Find $$\large a + b + c$$ .

###### This problem is a part of the sets - 1's & 2's & " N " for number theory.
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