To simplify the expression \(\sqrt{28} + 3\sqrt{63}\), we can follow the steps in order:
1. **Start with the original expression:**
\(\sqrt{28} + 3\sqrt{63}\)
2. **Factor the square roots:**
\(\sqrt{28} = \sqrt{4 \cdot 7} = 2\sqrt{7}\) and \(\sqrt{63} = \sqrt{9 \cdot 7} = 3\sqrt{7}\)
- Now the expression becomes:
\(2\sqrt{7} + 3(3\sqrt{7})\)
3. **Combine the terms:**
Substitute \(\sqrt{63}\) into the expression:
- \(2\sqrt{7} + 3 \cdot 3\sqrt{7}\) which simplifies to:
\(2\sqrt{7} + 9\sqrt{7}\)
4. **Combine like terms:**
\(11\sqrt{7}\)
So the correct order is:
1. Start with \(\sqrt{28} + 3\sqrt{63}\)
2. Factor into \(\sqrt{4 \cdot 7}\) and \(\sqrt{9 \cdot 7}\)
3. Combine to \(2\sqrt{7} + 9\sqrt{7}\)
4. Final result is \(11\sqrt{7}\)
Thus, the sequence is:
1. = \(\sqrt{28} + 3\sqrt{63}\)
2. = \(2\sqrt{7} + 9\sqrt{7}\)
3. = \(11\sqrt{7}\)
None of the expressions you provided match the correct simplified results and steps. The simplification is not presented correctly in your options, but the correct final answer is indeed \(11\sqrt{7}\).