Solve and tell whether or not it is extraneous 3(x+1)^1/5+5=11

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Solve and tell whether or not it is extraneous 3(x+1)^1/5+5=11

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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start by subtracting 5 from each side
6

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that's the right side, what about 3(x+1)^(1/5) + 5 - 5 = ?
0
All you have to do is the following: Step 1: Simplify the equation step 2: Subtract both sides of the equation by whatever value you are using. Step 3: Multiply both sides. Step 4 : NOW YOU GET UR FINAL ANSWER. DON'T FORGET TO CHECK UR WORK :D
\[(x+1)^{\frac{1}{5}} =2 \]Now the fifth roots of unity are \(z_k = e^{\frac{2\pi k}{5}i}\) where \(k = 0, 1, 2, \cdots, 4\). So the fifth roots of 2 should be \(z'_k = 2^{1/5} z_k \).

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