ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО [latex] \sqrt{71-16 \sqrt{7} } + \sqrt{11-4 \sqrt{7} } =[/latex] [latex] \sqrt{7+2 \sqrt 10} } =[/latex] [latex] \sqrt{ \frac{1}{2} \sqrt{ \frac{1}{2} \sqrt{ \frac{1}{2} } } } = 2^{x} [/latex] (найти х)

[latex]1)[/latex] [latex] \sqrt{71-16 \sqrt{7} } + \sqrt{11-4 \sqrt{7} } = \sqrt{(8- \sqrt{7} )^2} + \sqrt{(2- \sqrt{7})^2 }[/latex][latex] =|8- \sqrt{7}|+|2- \sqrt{7} |=8- \sqrt{7}+ \sqrt{7}-2=6 [/latex] P.S. [latex](a-b)^2=a^2+b^2-2ab[/latex] [latex]a^2+b^2=71[/latex] [latex]2ab=16 \sqrt{7} [/latex] [latex]ab=8 \sqrt{7} [/latex] [latex]a=8[/latex]  [latex]b= \sqrt{7} [/latex] [latex]a^2+b^2=11[/latex] [latex]2ab=4 \sqrt{7} [/latex] [latex]ab=2 \sqrt{7} [/latex] [latex]a=2[/latex]  [latex]b= \sqrt{7} [/latex] [latex]2)[/latex] [latex] \sqrt{7+2 \sqrt{10} }= \sqrt{( \sqrt{5}+ \sqrt{2})^2 }=| \sqrt{5} + \sqrt{2}|= \sqrt{5} + \sqrt{2} [/latex] P.S. [latex](a+b)^2=a^2+b^2+2ab[/latex] [latex]a^2+b^2=7[/latex] [latex]2ab=2 \sqrt{10} [/latex] [latex]ab= \sqrt{10} [/latex] [latex]a= \sqrt{5} [/latex]  [latex]b= \sqrt{2} [/latex] [latex]3)[/latex] [latex] \sqrt{ \frac{1}{2} \sqrt{ \frac{1}{2} \sqrt{ \frac{1}{2} } } } =2^x[/latex] [latex] (\frac{1}{2}) ^{ \frac{1}{2} }* (\frac{1}{2}) ^{ \frac{1}{4} }* (\frac{1}{2}) ^{ \frac{1}{8} } =2^x [/latex] [latex](\frac{1}{2}) ^{ \frac{1}{2} + { \frac{1}{4} }+{ \frac{1}{8} } }=2^x [/latex] [latex](\frac{1}{2}) ^{ \frac{4}{8} + { \frac{2}{8} }+{ \frac{1}{8} }} =2^x [/latex] [latex](\frac{1}{2}) ^{ \frac{7}{8} } =2^x [/latex] [latex]2 ^{ -\frac{7}{8} } =2^x [/latex] [latex]x=- \frac{7}{8} [/latex]