Какое из чисел больше [tex]\sqrt7 + \sqrt8 [/tex] [tex]3+\sqrt6[/tex]
V7 + V8 ??? 3 + V6
(V7 + V8)^2 ??? (3 + V6)^2
7 + 2V56 + 8 ??? 9 + 6V6 + 6
15 + 2V56 ??? 15 + 6V6
2V56 ??? 6V6
(2V56)^2 ??? (6V6)^2
4*56 ??? 36*6
224 ??? 216
224 > 216 => V7 + V8 > 3 + V6
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V7 + V8 ??? 3 + V6
(V7 + V8)^2 ??? (3 + V6)^2
7 + 2V56 + 8 ??? 9 + 6V6 + 6
15 + 2V56 ??? 15 + 6V6
2V56 ??? 6V6
(2V56)^2 ??? (6V6)^2
4*56 ??? 36*6
224 ??? 216
224 > 216 => V7 + V8 > 3 + V6