Simplify the following surd expressions: (i) (sqrt(5)sqrt(3) - 2sqrt(3))(sqrt(27) + 3sqrt(1))

Here are the solutions to the questions from the image, starting with Question 54.

Question 54:
The question asks to simplify the following surd expressions. Due to the blurriness of the image, especially for part (ii) and the options, I will solve both parts as written and note any assumptions. The options provided (C and D) do not seem to directly correspond to the full simplification of either expression, suggesting they might be for a different question or only for a specific part.

• Part (i): Simplify $(\sqrt{5}\sqrt{3} - 2\sqrt{3})(\sqrt{27} + 3\sqrt{1})$

Step 1: Simplify the terms within each parenthesis.

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