Answer:
[tex]10\sqrt{14}+8\sqrt{21}+30\sqrt{3}+36\sqrt{2}[/tex]
Step-by-step explanation:
Your product is found using the distributive property.
[tex](2\sqrt{7}+3\sqrt{6}) (5\sqrt{2}+ 4\sqrt{3})=2\sqrt{7}(5\sqrt{2}+ 4\sqrt{3})+3\sqrt{6}(5\sqrt{2}+ 4\sqrt{3})\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt{3}+36\sqrt{2}}[/tex]
