Simplify 4\(\sqrt{27}\) + 5\(\sqrt{12}\) − 3\(\sqrt{75}\)
- 7
- − 7
- − 7\(\sqrt{3}\)
-
7\(\sqrt{3}\)
The correct answer is: 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 .