Question

3. Efectuați calculele:
a) ( √3 + 1)² - √3 (4+3√5)​

Answer 1

$( \sqrt{3} + 1)^{2} - \sqrt{3}(4 + 3 \sqrt{5} ) = \\ ( \sqrt{3} )^{2} + 2 \sqrt{3} + 1 - 4 \sqrt{3} + 3 \sqrt{15} = \\ 3 + 2 \sqrt{3} + 1 - 4 \sqrt{ 3} + 3 \sqrt{15} = \\ 4 - 2 \sqrt{3} - 3 \sqrt{15}$