Question

Aplicando a propriedade distributiva calcule
(3√2 -2) x (√2 +3)
2√3 x (√3 +2)
(7-5√3) x (2-8√3)

Answer 1

Explicação passo-a-passo:

$a)(3 \sqrt{2} - 2).( \sqrt{2} + 3) = (3 \sqrt{2} . \sqrt{2} - 2 \sqrt{2} - 6) = 3 \sqrt{4} - 2 \sqrt{2} - 6$

$b)2 \sqrt{3} \times ( \sqrt{3} + 2) = 2 \sqrt{3} . \sqrt{3} + 2 \sqrt{3} .2 = 2 \sqrt{9} + 4 \sqrt{3} = 2.3 + 4 \sqrt{3} = 6 + 4 \sqrt{3}$

$c)(7 - 5 \sqrt{3} ) \times (2 - 8 \sqrt{3} ) =$

$7.2 - 7.8 \sqrt{3} - 5 \sqrt{3} .2 - 5. - 8 \sqrt{3} = 14 - = 63 \sqrt{3} - 10 \sqrt{3} + 40 \sqrt{3} = 93 \sqrt{3}$