Страница 62 номер 151, ГДЗ по алгебре за 10-11 класс Алимов - ответы и решение

1) \(\sqrt{x} = 2\), \(\left(\sqrt{x}\right)^{2} = 2^{2}\), \(x = 4\);

2) \(\sqrt{x} = 7\), \(\left(\sqrt{x}\right)^{2} = 7^{2}\), \(x = 49\);

3) \(\sqrt[3]{x} = 2\), \(\left(\sqrt[3]{x}\right)^{3} = 2^{3}\), \(x = 8\);

4) \(\sqrt[3]{x} = -3\), \(\left(\sqrt[3]{x}\right)^{3} = (-3)^{3}\), \(x = -27\);

5) \(\sqrt[3]{1 - 3x} = 0\), \(\left(\sqrt[3]{1 - 3x}\right)^{3} = 0\), \(1 - 3x = 0\), \(x = \frac{1}{3}\);

6) \(\sqrt[4]{x} = 1\), \(\left(\sqrt[4]{x}\right)^{4} = 1\), \(x = 1\);

7) \(\sqrt[4]{2 - x} = 0\), \(\left(\sqrt[4]{2 - x}\right)^{4} = 0\), \(2 - x = 0\), \(x = 2\).