Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 402

а) $$\sqrt{20}$$ = $$\sqrt{4 ⋅ 5}$$ = $$\sqrt{2²}$$ ⋅ $$\sqrt{5}$$ = 2$$\sqrt{5}$$
б) $$\sqrt{98}$$ = $$\sqrt{49 ⋅ 2}$$ = $$\sqrt{7²}$$ ⋅ $$\sqrt{2}$$ = 7$$\sqrt{2}$$
в) $$\sqrt{200}$$ = $$\sqrt{100 ⋅ 2}$$ = $$\sqrt{1²}$$ ⋅ $$\sqrt{2}$$ = 10$$\sqrt{2}$$
г) $$\sqrt{160}$$ = $$\sqrt{16 ⋅ 10}$$ = $$\sqrt{4²}$$ ⋅ $$\sqrt{10}$$ = 4$$\sqrt{10}$$
д) 0,2$$\sqrt{75}$$ = 0,2$$\sqrt{25 ⋅ 3}$$ = 0,2$$\sqrt{5²}$$ ⋅ $$\sqrt{3}$$ = 0,2 ⋅ 5$$\sqrt{3}$$ = $$\sqrt{3}$$
е) 0,7$$\sqrt{300}$$ = 0,7$$\sqrt{100 ⋅ 3}$$ = 0,7$$\sqrt{10²}$$ ⋅ $$\sqrt{3}$$ = 0,7 ⋅ 10$$\sqrt{3}$$ = 7$$\sqrt{3}$$
ж) −0,125$$\sqrt{192}$$ = −0,125$$\sqrt{64 ⋅ 3}$$ = −0,125$$\sqrt{8²}$$ ⋅ $$\sqrt{3}$$ = −0,125 ⋅ 8$$\sqrt{3}$$ = −$$\sqrt{3}$$
з) −1/3$$\sqrt{450}$$ = −1/3$$\sqrt{225 ⋅ 2}$$ = −1/3$$\sqrt{15²}$$ ⋅ $$\sqrt{2}$$ = −1/3 ⋅ 15$$\sqrt{2}$$ = −1 ⋅ 15 : 3/3 : 3$$\sqrt{2}$$ = −5$$\sqrt{2}$$