Answer:
[tex]7\sqrt{3} +12\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{12} -\sqrt{18} +3\sqrt{50} +\sqrt{75}[/tex]
[tex]\implies \sqrt{4\times3} -\sqrt{9\times2} +3\sqrt{25\times2} +\sqrt{25\times3}[/tex]
[tex]\implies \sqrt{4}\sqrt{3} -\sqrt{9}\sqrt{2} +3\sqrt{25}\sqrt{2} +\sqrt{25}\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +3(5)\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} -3\sqrt{2} +15\sqrt{2} +5\sqrt{3}[/tex]
[tex]\implies 2\sqrt{3} +5\sqrt{3} +15\sqrt{2} -3\sqrt{2}[/tex]
[tex]\implies 7\sqrt{3} +12\sqrt{2}[/tex]
