Question

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

Answer 1

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$(3 \sqrt{2} -2)( \sqrt{2} +3)= \\ \\ 3 \sqrt{2} . \sqrt{2} +3 \sqrt{2} .3-2 \sqrt{2} -6= \\ \\ 3 \sqrt{2^2} +9 \sqrt{2} -2 \sqrt{2} -6= \\ \\ 3.2+9 \sqrt{2} -2 \sqrt{2} -6= \\ \\ \not6+7 \sqrt{2} -\not6= \\ \\ \fbox{ 7 \sqrt{2} }$