Question

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

Answer 1

-1 + √3 or -(1 - 2√3)

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}`