Question

Aplicando a propriedade distribuitiva calcule
(3√2-2)×(√2+3)

Answer 1

(3√2-2)x(√2+3)
((3√2 x √2) + (3√2 x 3)) + (((-2) x √2)+((-2) x 3)) 
(3√4 + 6√2) + (-2√2 - 6)
(3 x 2 + 6√2) + (-2√2 - 6)
6 + 6√2 - 2√2 - 6
6√2 - 2√2

Answer 2

$(3 \sqrt{2} - 2 ) * ( \sqrt{2} + 3) \\ \\ \\ 3 \sqrt{2} * \sqrt{2} + 3*3 \sqrt{2} - 2 \sqrt{2} - 2 * 3 \\ \\ 3*( \sqrt{2})^2 + 9 \sqrt{2} -2 \sqrt{2} - 6 \\ \\ 3*(\not \sqrt{2})^\not ^2 + 9 \sqrt{2} -2 \sqrt{2} - 6 \\ \\ 3*2 + 7\sqrt{2} - 6 \\ \\ \not 6+ 7\sqrt{2} -\not 6 \\ \\ \\ => 7 \sqrt{2}$