Respuesta :

Answer:

[tex]14\sqrt{3}-8\sqrt{5}[/tex]

Step-by-step explanation:

we have

[tex]2\sqrt{20}-4\sqrt{45}+7\sqrt{12}[/tex]

we know that

[tex]2\sqrt{20}=2\sqrt{2^{2}5} =2(2)\sqrt{5}=4\sqrt{5}[/tex]

[tex]4\sqrt{45}=4\sqrt{3^{2}5} =4(3)\sqrt{5}=12\sqrt{5}[/tex]

[tex]7\sqrt{12}=7\sqrt{2^{2}3} =7(2)\sqrt{3}=14\sqrt{3}[/tex]

substitute the values in the expression above

[tex]4\sqrt{5}-12\sqrt{5}+14\sqrt{3}[/tex]

Combine like terms

[tex]14\sqrt{3}-8\sqrt{5}[/tex]

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