Simplify (3x+1)+( square root of 3x-6+1)

$(3 x + 1) + (\sqrt{3 x - 6} + 1)$

Step 1

Remove parentheses.

$3 x + 1 + \sqrt{3 x - 6} + 1$

Step 2

Factor $3$ out of $3 x - 6$ .

Factor $3$ out of $3 x$ .

$3 x + 1 + \sqrt{3 (x) - 6} + 1$

Factor $3$ out of $- 6$ .

$3 x + 1 + \sqrt{3 x + 3 \cdot - 2} + 1$

Factor $3$ out of $3 x + 3 \cdot - 2$ .

$3 x + 1 + \sqrt{3 (x - 2)} + 1$

$3 x + 1 + \sqrt{3 (x - 2)} + 1$

Step 3

Add $1$ and $1$ .

$3 x + 2 + \sqrt{3 (x - 2)}$

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