Correct Answer: Option D

Explanation

4\(\sqrt{27}\) + 5\(\sqrt{12}\) − 3\(\sqrt{75}\)

= 4\(\sqrt{3}\) × 9 + 5\(\sqrt{3}\) × 4 − 3\(\sqrt{3}\) × 25

= 4 × 3\(\sqrt{3}\) + 5 × 2\(\sqrt{3}\) − 3 × 5\(\sqrt{3}\)

= 12\(\sqrt{3}\) + 10\(\sqrt{3}\) − 15\(\sqrt{3}\)

= (12 + 10 − 15)\(\sqrt{3}\)

= 7\(\sqrt{3}\)

There is an explanation video available below.

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