Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 395

а) $$\sqrt{11⁴}$$ = $$\sqrt{(11²)²}$$ = |11²| = |121| = 121
б) $$\sqrt{4⁶}$$ = $$\sqrt{(4³)²}$$ = |4²| = |64| = 64
в) $$\sqrt{(−3)⁶}$$ = $$\sqrt{3⁶}$$ = $$\sqrt{(3³)²}$$ = |3³| = |27| = 27
г) $$\sqrt{(−6)⁴}$$ = $$\sqrt{6⁴}$$ = $$\sqrt{(6²)²}$$ = |6²| = |36| = 36
д) $$\sqrt{2⁸ ⋅ 3²}$$ = $$\sqrt{(2⁴)²}$$ ⋅ $$\sqrt{3²}$$ = |2⁴| ⋅ |3| = |16| ⋅ |3| = 16 ⋅ 3 = 48
е) $$\sqrt{3⁴ ⋅ 5⁶}$$ = $$\sqrt{(3²)²}$$ ⋅ $$\sqrt{(5³)²}$$ = |3²| ⋅ |5³| = |9| ⋅ |125| = 9 ⋅ 125 = 1125
ж) $$\sqrt{7² ⋅ 2⁸}$$ = $$\sqrt{7²}$$ ⋅ $$\sqrt{(2⁴)²}$$ = |7| ⋅ |2⁴| = |7| ⋅ |16| = 7 ⋅ 16 = 112
з) $$\sqrt{3⁶ ⋅ 5⁴}$$ = $$\sqrt{(3³)²}$$ ⋅ $$\sqrt{(5²)²}$$ = |3³| ⋅ |5²| = |27| ⋅ |25| = 27 ⋅ 25 = 675
и) $$\sqrt{8⁴ ⋅ 5⁶}$$ = $$\sqrt{(8²)²}$$ ⋅ $$\sqrt{(5³)²}$$ = |8²| ⋅ |5³| = |64| ⋅ |125| = 64 ⋅ 125 = 8000