Question

4root3-3root12+2root75

Answer 1

Hey here is your answer
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$=4 \sqrt{3} - 3 \sqrt{12} + 2 \sqrt{75} \\ \\ = 4 \sqrt{3} - 3 \sqrt{ {2}^{2} \times 3} + 2 \sqrt{ {5}^{2} \times 3 } \\ \\ = 4 \sqrt{3} - 3 \times 2 \sqrt{3} + 2 \times 5 \sqrt{3} \\ \\ = 4 \sqrt{3} - 6 \sqrt{3} + 10 \sqrt{3} \\ \\ = 14 \sqrt{3} - 6 \sqrt{3} \\ \\ = 8 \sqrt{3}$
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