Put the steps in order used to simplify the expression

Question

below.
√28 +3√63
(5 points)
= 2√√√7+9√√7
= √√4.7 +3√9.7
= 11√√7
= V 2.2.7+3√3.3.7
= 2√√√7+3.3√√7

Answer 1

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 \(11\sqrt{7}\).