Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 404

а) 2$$\sqrt{17}$$ = $$\sqrt{2² ⋅ 17}$$ = $$\sqrt{4 ⋅ 17}$$ = $$\sqrt{68}$$ 4 = $$\sqrt{16}$$ 68 > 4 2$$\sqrt{17}$$ > 4 $$ \sqrt{2 \sqrt{17}-4} $$ имеет смысл
б) 9 = $$\sqrt{81}$$ 81 > 80 9 > $$\sqrt{80}$$ $$ \sqrt{9-\sqrt{80}} $$ имеет смысл
в) 8$$\sqrt{3}$$ = $$\sqrt{64 ⋅ 3}$$ = $$\sqrt{192}$$ 14 = $$\sqrt{196}$$ 192 < 196 8$$\sqrt{3}$$ < 14 $$ \sqrt{8 \sqrt{3}-14} $$ не имеет смысл
г) 2$$\sqrt{56}$$ = $$\sqrt{4 ⋅ 56}$$ = $$\sqrt{224}$$ 15 = $$\sqrt{225}$$ 225 > 224 15 > 2$$\sqrt{56}$$ $$ \sqrt{15-2 \sqrt{56}} $$ имеет смысл
д) 3$$\sqrt{2}$$ = $$\sqrt{9 ⋅ 2}$$ = $$\sqrt{18}$$ 11 < 18 $$\sqrt{11}$$ < 3$$\sqrt{2}$$ $$ \sqrt{\sqrt{11}-3 \sqrt{2}} $$ не имеет смысл
е) 2$$\sqrt{2}$$ = $$\sqrt{4 ⋅ 2}$$ = $$\sqrt{8}$$ 8 > 7 2$$\sqrt{2}$$ > $$\sqrt{7}$$ $$ \sqrt{2 \sqrt{2}-\sqrt{7}} $$ имеет смысл
ж) 6$$\sqrt{3}$$ = $$\sqrt{36 ⋅ 3}$$ = $$\sqrt{108}$$ 7$$\sqrt{2}$$ = $$\sqrt{49 ⋅ 2}$$ = $$\sqrt{98}$$ 108 > 98 6$$\sqrt{3}$$ > 7$$\sqrt{2}$$ $$ \sqrt{6 \sqrt{3}-7 \sqrt{2}} $$ имеет смысл
з) 5$$\sqrt{13}$$ = $$\sqrt{25 ⋅ 13}$$ = $$\sqrt{325}$$ 186 < 325 $$\sqrt{186}$$ < 5$$\sqrt{13}$$ $$ \sqrt{\sqrt{186}-5 \sqrt{13}} $$ не имеет смысл
и) 5$$\sqrt{7}$$ = $$\sqrt{25 ⋅ 7}$$ = $$\sqrt{175}$$ 186 > 175 $$\sqrt{186}$$ > 5$$\sqrt{7}$$ $$ \sqrt{-\sqrt{186}+5 \sqrt{7}} $$ не имеет смысл
к) 4$$\sqrt{2}$$ = $$\sqrt{4² ⋅ 2}$$ = $$\sqrt{16 ⋅ 2}$$ = $$\sqrt{32}$$ 56 > 32 $$\sqrt{56}$$ > 4$$\sqrt{2}$$ $$ \sqrt{\sqrt{56}-4 \sqrt{2}} $$ имеет смысл
л) 6$$\sqrt{5}$$ = $$\sqrt{6² ⋅ 5}$$ = $$\sqrt{36 ⋅ 5}$$ = $$\sqrt{180}$$ 42 < 180 $$\sqrt{42}$$ < 6$$\sqrt{5}$$ $$ \sqrt{\sqrt{42}-6 \sqrt{5}} $$ не имеет смысл
м) 6$$\sqrt{2}$$ = $$\sqrt{6² ⋅ 2}$$ = $$\sqrt{36 ⋅ 2}$$ = $$\sqrt{72}$$ 72 = 72 $$\sqrt{72}$$ = $$\sqrt{72}$$ $$ \sqrt{\sqrt{72}-6 \sqrt{2}} $$ имеет смысл