Задача 55251 Срочно!...

5f522bdd8b85ef59a67d40d3

02.11.2020 12:41:36

Срочно!

5f3ea7e3faf909182968ddd9

02.11.2020 13:33:09

★

[m](2+\sqrt{3})^3=2^3+3\cdot 2^2\cdot \sqrt{3}+3\cdot 2\cdot (\sqrt{3})^2+(\sqrt{3})^3=26+15\sqrt{3}[/m] [red]⇒[/red] [m]\sqrt[3]{26+15\sqrt{3}}=2+\sqrt{3}[/m]



[m]\sqrt[3]{26+15\sqrt{3}}\cdot (2-\sqrt{3})=(2+\sqrt{3})\cdot (2-\sqrt{3})= (2)^2-(\sqrt{3})^2=4-3=1[/m]