Respuesta :

GIVEN:

We are given the following radical expression;

[tex]9\sqrt{3}+2\sqrt{3}+\sqrt{3}[/tex]

Required;

To simplify the expression given;

Step-by-step solution;

We note here that the addition will only affect the "coefficients" of the radicals. The coefficients are;

[tex]9,2\text{ }and\text{ }1[/tex]

The coefficient of the third radical is 1. Since all three radicals are the same value, we simply add up the coefficients and we now have;

[tex]9+2+1(\sqrt{3})=12\sqrt{3}[/tex]

ANSWER:

[tex]12\sqrt{3}[/tex]

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