Answer:
[tex]14\sqrt{5}[/tex]
Step-by-step explanation:
[tex]8\sqrt{5}+2\sqrt{45}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9\cdot5}[/tex]
Use radical rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9}\sqrt{5}[/tex]
[tex]=8\sqrt{5}+2\cdot3\sqrt{5}[/tex]
[tex]=8\sqrt{5}+6\sqrt{5}[/tex]
[tex]=(8+6)\sqrt{5}[/tex]
[tex]=14\sqrt{5}[/tex]
