[tex]B = 3 \sqrt{150}(3 \sqrt{192} - 6 \sqrt{72} - 4 \sqrt{108} + 8 \sqrt{32}) \\ \\ B = 3 \times 5 \sqrt{6}(3 \times 8 \sqrt{3} - 6 \times 6 \sqrt{2} - 4 \times 6 \sqrt{3} + 8 \times 4 \sqrt{2}) \\ \\ B = 3 \times 5 \sqrt{6}(24 \sqrt{3} - 36 \sqrt{2} - 24 \sqrt{3} + 32 \sqrt{2}) \\ \\ B = 3 \times 5 \sqrt{6}((24 \sqrt{3} - 24 \sqrt{3}) + ( - 36 \sqrt{2} + 32 \sqrt{2})) \\ \\ B = 3 \times 5 \sqrt{6} \times - 4 \sqrt{2} \\ \\ B = - 3 \times 5 \times 4 \sqrt{6 \times 2} \\ \\ B = - 3 \times 5 \times 4 \sqrt{12} \\ \\ B = - 3 \times 5 \times 4 \times 2 \sqrt{3} \\ \\ B = - 120 \sqrt{3} [/tex]
