Question

10................/......

Answer 1

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)

Answer 2

For this case we must simplify the following expression:

$(1+ \sqrt {3}) (2- \sqrt {3})$

We apply distributive property:

$2- \sqrt {3} +2 \sqrt {3} - \sqrt {3} * \sqrt {3} =$

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

$2+ \sqrt {3} - (\sqrt {3}) ^ 2 =\\2+ \sqrt {3} -3 =$

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

$-1+ \sqrt {3}$

Answer:

$-1+ \sqrt {3}$