Question

Вычисли: (8+54–√)⋅(8−54–√) .​

Answer 1

$\displaystyle\bf\\(8+\sqrt{54} )(8-\sqrt{54} )=8^{2}-(\sqrt{54} )^{2} =64-54=10\\\\\\Otvet:10$

Или так :

$\displaystyle\bf\\(8+5\sqrt{4} )\cdot(8-5\sqrt{4} )=(8+5\cdot 2)(8-5\cdot 2)=(8+10)\cdot(8-10)=\\\\\\=8^{2} -10^{2} =64-100=-36\\\\\\Otvet:-36$

Answer 2

Ответ:

$(8 + 54 - \sqrt{4} )(8 - 54 - \sqrt{4} ) = 8 \times 8 + 8 \times ( - 54) + 8 \times ( - \sqrt{4} ) + 54 \times 8 + 54 \times ( - 54) + 54 \times ( - \sqrt{4} ) - \sqrt{4} \times 8 - \sqrt{4} \times ( - 54) - \sqrt{4} \times ( - \sqrt{4} ) = 64 - 432 - 8 \times 2 + 432 - 2916 - 54 \times 2 - 2 \times 8 + 2 \times 54 + 4 = 64 - 16 - 2916 - 16 + 4 = - 2880$

Ответ: - 2880