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Distribute and simplify these radicals. 2 √3x(√2+ √3)

A. 2 √6+6
B. 2 √15
C. 30
D. 6 √2+6

Respuesta :

2√3 x(√2+√3)=2√(3.2)+(2√3.3)=2√6+2√9=2√6+2.3=2√6+6

Answer: A. 2√6+6

Answer:

[tex]2\sqrt{6} +6[/tex]

Step-by-step explanation:

[tex]2\sqrt{3} (\sqrt{2} +\sqrt{3})[/tex]

To simplify this expression , we multiply 3  square root (3) inside the parenthesis

we distribute [tex]2\sqrt{3}[/tex] inside the parenthesis

[tex]2\sqrt{3} \cdot \sqrt{2} +2\sqrt{3} \cdot \sqrt{3})[/tex]

[tex]2\sqrt{6} +2\sqrt{9}[/tex]

square root (9) is 3

[tex]2\sqrt{6} +2(3)[/tex]

[tex]2\sqrt{6} +6[/tex]

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