Question

дам 100 баллов решите уравнение прошуууууууууууу​

Answer 1

$\bf \sqrt{1 + \sqrt{2 + \sqrt{x} } } = 2 \\ \bigg( \sqrt{1 + \sqrt{2 + \sqrt{x} } } \bigg) {}^{2} = 2 {}^{2} \\ 1 + \sqrt{2 + \sqrt{x} } = 4 \\ \sqrt{2 + \sqrt{x} } = 4 - 1 \\ \sqrt{2 + \sqrt{x} } = 3 \\ \bigg( \sqrt{2 + \sqrt{x} } \bigg) {}^{2} = 3 {}^{2} \\ 2 + \sqrt{x} = 9 \\ \sqrt{x} = 9 - 2 \\ \sqrt{x} = 7 \\ \bigg( \sqrt{x} \bigg) {}^{2} = 7 {}^{2} \\ \huge \: x = 49$