Question

упростите выражение 1)2/3√27+√2(√8-√6)
2) (√7-√3)²​

Answer 1

Ответ:

$\dfrac{2}{3} *\sqrt{27}+ \sqrt{ 2 \phantom{\tiny{!}}} ( \sqrt{ 8 \phantom{\tiny{!}}} - \sqrt{ 6 \phantom{\tiny{!}}} ) =\dfrac{2}{3}*3\sqrt{3} +\sqrt{2} *2\sqrt{2} -\sqrt{2} *\sqrt{6} =2\sqrt{3} +4-\sqrt{2} *\sqrt{6}=2\sqrt{3} +4 -\sqrt{2} *\sqrt{2} *\sqrt{3} =2\sqrt{3} +4-2\sqrt{3}=4\\ { \left( \sqrt{ 7 \phantom{\tiny{!}}} - \sqrt{ 3 \phantom{\tiny{!}}} \right) }^{ 2 } =\\7-2\sqrt{7} \sqrt{3} +3=7-2\sqrt{21} +3=10-2\sqrt{21}$

Объяснение: