Respuesta :

Answer:

-1 + √3 or -(1 - 2√3)

Step-by-step explanation:

(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = -1 + √3 or -(1 - 2√3)

For this case we must simplify the following expression:

[tex](1+ \sqrt {3}) (2- \sqrt {3})[/tex]

We apply distributive property:

[tex]2- \sqrt {3} +2 \sqrt {3} - \sqrt {3} * \sqrt {3} =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

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

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]-1+ \sqrt {3}[/tex]

Answer:

[tex]-1+ \sqrt {3}[/tex]